<Text-field style="Heading 1" layout="Heading 1">Inicializa\303\247\303\265es</Text-field>

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Problemas de Autovalores para EDOs 2

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

<Text-field style="Heading 1" layout="Heading 1">Introdu\303\247\303\243o</Text-field>

Na parte 1 dessa s\303\251rie de artigos sobre solu\303\247\303\243o de problemas de autovalores para EDOs, discutimos equa\303\247\303\265es para as quais a solu\303\247\303\243o geral cedeu prontamente autovalores e autofun\303\247\303\265es sem a necessidade de conhecimento detalhado de qualquer fun\303\247\303\243o especial da matem\303\241tica aplicada. Na parte 2 dessa s\303\251rie, nos concentraremos nos problemas de autovalores para a equa\303\247\303\243o de Bessel cuja solu\303\247\303\243o requer algum conhecimento das fun\303\247\303\265es de Bessel de primeiro e segundo tipos.

Uma vez que a equa\303\247\303\243o de Bessel surge prontamente quando separa as vari\303\241veis em equa\303\247\303\265es de Laplace em coordenadas cil\303\255ndricas, permitimos que nossa discuss\303\243o seja colorida por refer\303\252ncias para c\303\241lculos surgidos de problemas de valor limite colocados em um cilindro.

<Text-field style="Heading 1" layout="Heading 1">Temperaturas de Estado Estacion\303\241rio em um Cilindro</Text-field>

Em estado estacion\303\241rio, a temperatura LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= em um cilindro satisfaz a equa\303\247\303\243o de 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 e algumas condi\303\247\303\265es no limite do cilindro. Por exemplo, se o cilindro \303\251 descrito em coordenadas cil\303\255ndricas por 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 impor a condi\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInJGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRJyYjOTUyO0YnL0YwRkVGQUY9LUYsNiVRImhGJ0YvRjJGQUZBLUY+Ni1RIj1GJ0ZBRkMvRkdGRUZIRkpGTEZORlAvRlNRLDAuMjc3Nzc3OGVtRicvRlZGXm8tRiw2JVEiZkYnRi9GMi1GNjYkLUYjNiRGOkZBRkFGQQ== ou 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 na superf\303\255cie superior, 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 ou 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 na parede curva do cilindro, e 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 ou 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 na superf\303\255cie inferior. (Subscritos denotam derivadas parciais.)

Se a temperatura na parede curva do cilindro \303\251 fixa em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=, dizemos que uma condi\303\247\303\243o homog\303\252nea de Dirichlet foi imposta. Alternativamente, se a parede curva \303\251 tal que o fluxo de calor nessa superf\303\255cie \303\251 zero, dizemos que uma condi\303\247\303\243o homog\303\252nea de Dirichlet foi imposta. O fluxo atrav\303\251s da parede curva \303\251 a derivada normal dada por 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 avaliada em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=.

Se a temperatura prescrita na superf\303\255cie superior \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInJGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSIsRidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJ0Y9uma fun\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= sozinho, a temperatura no cilindro ser\303\241 axialmente sim\303\251trica tal que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInJGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRJyYjOTUyO0YnL0YwRkVGQUY9LUYsNiVRInpGJ0YvRjJGQUZBLUY+Ni1RIj1GJ0ZBRkMvRkdGRUZIRkpGTEZORlAvRlNRLDAuMjc3Nzc3OGVtRicvRlZGXm9GKy1GNjYkLUYjNiZGOkY9RmZuRkFGQS1GPjYtUSIuRidGQUZDRlxvRkhGSkZMRk5GUEZSL0ZWRlRGQQ== Alternativamente, se essa temperatura prescrita \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInJGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRJyYjOTUyO0YnL0YwRkVGQUZBRkFGPUZBent\303\243o a temperatura no cilindro ser\303\241 axialmente assim\303\251trica tal que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEYrLUkobWZlbmNlZEdGJDYkLUYjNigtRiw2JVEickYnRi9GMi1GNjYtUSIsRidGOUY7L0Y/RjFGQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZOUSwwLjMzMzMzMzNlbUYnLUYsNiVRJyYjOTUyO0YnL0YwRj1GOUZXLUYsNiVRInpGJ0YvRjJGOUY5LUY2Ni1RIi5GJ0Y5RjtGPkZARkJGREZGRkhGZW4vRk5GZm5GOQ==

<Text-field style="Heading 1" layout="Heading 1">Simetria Axial</Text-field>

<Text-field style="Heading 2" layout="Heading 2">Separa\303\247\303\243o de Vari\303\241veis</Text-field>

Temperaturas de estado estacion\303\241rio em um cilindro obedecem a equa\303\247\303\243o de Laplace. Sob a hip\303\263tese de simetria axial, a equa\303\247\303\243o de Laplace em coordenadas cil\303\255ndricas se torna

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEkUERFRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiw2JVEnZXhwYW5kRidGL0YyLUkobWZlbmNlZEdGJDYkLUYjNictRiw2I1EhRictRiM2Jy1GLDYlUSpMYXBsYWNpYW5GJ0YvRjItRjY2P1EwJkFwcGx5RnVuY3Rpb247RicvJSdmYW1pbHlHUSZzZXJpZkYnLyUlc2l6ZUdRIzEyRicvJSVib2xkR0YxL0YwRj0vJSp1bmRlcmxpbmVHRj0vJSpzdWJzY3JpcHRHRj0vJSxzdXBlcnNjcmlwdEdGPS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0Y9LyUrZXhlY3V0YWJsZUdGPS8lKXJlYWRvbmx5R0Y9LyUpY29tcG9zZWRHRj0vJSpjb252ZXJ0ZWRHRj0vJStpbXNlbGVjdGVkR0Y9LyUscGxhY2Vob2xkZXJHRj0vJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHRj0vRjNRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRmJxRjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GZnEtRlM2JC1GIzYpLUYsNiVRInVGJ0YvRjItRlM2JC1GIzYnLUYsNiVRInJGJ0YvRjItRjY2LVEiLEYnRjlGOy9GP0YxRkBGQkZERkZGSEZlcS9GTlEsMC4zMzMzMzMzZW1GJy1GLDYlUSJ6RidGL0YyRmNwRjlGOUZmci1GLDYlUSxjeWxpbmRyaWNhbEYnRi9GMi1GUzYmLUYjNilGY3JGZnItRiw2JVEnJiM5NTI7RidGZG9GOUZmckZcc0ZjcEY5RjkvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGY3BGOUY5RmNwRjlGV0ZjcEY5RjktRjY2LVEiPUYnRjlGO0Y+RkBGQkZERkZGSEZKRk0tSSNtbkdGJDYkUSIwRidGOUZjcEY5

LywoKiZJInJHNiIhIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUdGJjYkRiVJInpHRiZGJSIiIkYwLUYpNiRGKEYlRjAtRik2JC1GKTYkRixGL0YvRjAiIiE=

Assumindo a solu\303\247\303\243o separada

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEiVUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjpRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZELyUpc3RyZXRjaHlHRkQvJSpzeW1tZXRyaWNHRkQvJShsYXJnZW9wR0ZELyUubW92YWJsZWxpbWl0c0dGRC8lJ2FjY2VudEdGRC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlMtRiM2KUYrLUYjNictRiw2JVEiUkYnRjZGOS1GPTY/UTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRJnNlcmlmRicvJSVzaXplR1EjMTJGJy8lJWJvbGRHRjgvRjdGRC8lKnVuZGVybGluZUdGRC8lKnN1YnNjcmlwdEdGRC8lLHN1cGVyc2NyaXB0R0ZELyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRicvJSdvcGFxdWVHRkQvJStleGVjdXRhYmxlR0ZELyUpcmVhZG9ubHlHRkQvJSljb21wb3NlZEdGRC8lKmNvbnZlcnRlZEdGRC8lK2ltc2VsZWN0ZWRHRkQvJSxwbGFjZWhvbGRlckdGRC8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdGRC9GOlElYm9sZEYnLyUrZm9udHdlaWdodEdGYHFGQkZFRkdGSUZLRk1GTy9GUlEmMC4wZW1GJy9GVUZkcS1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRInJGJ0Y2RjlGYXBGQEZARmFwRkAtRj02PlExJkludmlzaWJsZVRpbWVzO0YnRmpuRl1vL0Zhb0ZERmJvRmNvRmVvRmdvRmlvRlxwRl9wRmFwRmNwRmVwRmdwRmlwRltxRl1xRkBGQkZFRkdGSUZLRk1GT0ZjcUZlcS1GIzYnLUYsNiVRIlpGJ0Y2RjlGZ24tRmdxNiQtRiM2JS1GLDYlUSJ6RidGNkY5RmFwRkBGQEZhcEZARitGYXBGQEYrRmFwRkBGK0ZhcEZARitGYXBGQA==

KiYtSSJSRzYiNiNJInJHRiUiIiItSSJaR0YlNiNJInpHRiVGKA==

leva a

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

LywoKigtSSJSRzYiNiNJInJHRichIiJGKUYqLUklZGlmZkclKnByb3RlY3RlZEc2JEYlRikiIiJGLyomRiVGKi1GLDYkRitGKUYvRi8qJi1JIlpHRic2I0kiekdGJ0YqLUYsNiQtRiw2JEY0RjdGN0YvRi8iIiE=

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

LywmKigtSSJSRzYiNiNJInJHRichIiJGKUYqLUklZGlmZkclKnByb3RlY3RlZEc2JEYlRikiIiJGLyomRiVGKi1GLDYkRitGKUYvRi8sJComLUkiWkdGJzYjSSJ6R0YnRiotRiw2JC1GLDYkRjVGOEY4Ri9GKg==

como a equa\303\247\303\243o vari\303\241vel-separada. Introduzindo a constante de separa\303\247\303\243o de Bernoulli LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy, temos a equa\303\247\303\243o diferencial ordin\303\241ria

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para o componente radial LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInJGJ0YvRjIvRjNRJ25vcm1hbEYnRj1GPQ==. Manipulando isso para a forma

LywmKiZJInJHNiIhIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkiUkdGJjYjRiVGJSIiIkYvLUYpNiRGKEYlRi8qJkYsRi9JJ2xhbWJkYUdGJkYv

e ent\303\243o

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

LywoKiZJInJHNiIhIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkiUkdGJjYjRiVGJSIiIkYvLUYpNiRGKEYlRi8qJkYsRi9JJ2xhbWJkYUdGJkYvRiciIiE=

obtemos a solu\303\247\303\243o como

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

Ly1JIlJHNiI2I0kickdGJSwmKiZJJF9DMUdGJSIiIi1JKEJlc3NlbEpHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2JCIiISomKSwkSSdsYW1iZGFHRiUhIiIjRisiIiNGK0YnRitGK0YrKiZJJF9DMkdGJUYrLUkoQmVzc2VsWUdGLkYxRitGKw==

A forma "auto-adjunta" da equa\303\247\303\243o para o componente radial \303\251

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

O radical da solu\303\247\303\243o sugere a substitui\303\247\303\243o

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

LywoKiZJInJHNiIhIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkiUkdGJjYjRiVGJSIiIkYvLUYpNiRGKEYlRi8qJkYsRi8pSSNtdUdGJiIiI0YvRi8iIiE=

em cujo caso a solu\303\247\303\243o \303\251 dada por

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

Ly1JIlJHNiI2I0kickdGJSwmKiZJJF9DMUdGJSIiIi1JKEJlc3NlbEpHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2JCIiISomSSNtdUdGJUYrRidGK0YrRisqJkkkX0MyR0YlRistSShCZXNzZWxZR0YuRjFGK0Yr

A solu\303\247\303\243o \303\251 uma combina\303\247\303\243o linear de duas fun\303\247\303\265es de Bessel, uma de "primeiro tipo" e outra de "segundo".

A equa\303\247\303\243o radial pode ser transformada na equa\303\247\303\243o de Bessel pela mudan\303\247a de vari\303\241veis

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

LywoKihJInhHNiIhIiIpSSNtdUdGJiIiIyIiIi1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJ5R0YmNiNGJUYlRitGKyomRihGKy1GLTYkRixGJUYrRisqJkYwRitGKEYrRisiIiE=

Fatorando LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUkjbW5HRiQ2JFEiMkYnRjVGNS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGNQ== leva \303\240 equa\303\247\303\243o de Bessel de ordem zero, isso \303\251, a

LywoKiZJInhHNiIhIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkieUdGJjYjRiVGJSIiIkYvLUYpNiRGKEYlRi9GLEYvIiIh

A solu\303\247\303\243o dessa equa\303\247\303\243o \303\251

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

Ly1JInlHNiI2I0kieEdGJSwmKiZJJF9DMUdGJSIiIi1JKEJlc3NlbEpHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2JCIiIUYnRitGKyomSSRfQzJHRiVGKy1JKEJlc3NlbFlHRi5GMUYrRis=

e ent\303\243o 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 A figura 1 cont\303\251m um gr\303\241fico de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHRj0tSShtZmVuY2VkR0YkNiQtRiM2JC1GLzYlUSJ4RidGMkY1Rj5GPkY+ (em preto) e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiWUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHRj0tSShtZmVuY2VkR0YkNiQtRiM2JC1GLzYlUSJ4RidGMkY1Rj5GPkY+ (em vermelho).

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

Figura 1 Em preto, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHRj0tSShtZmVuY2VkR0YkNiQtRiM2JC1GLzYlUSJ4RidGMkY1Rj5GPkY+, a fun\303\247\303\243o de Bessel de primeiro tipo, e em vermelho, 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a equa\303\247\303\243o de Bessel de segundo tipo.

Consistente com o gr\303\241fico na Figura 1, temos

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

Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiUtSShCZXNzZWxZR0YlNiQiIiFJInhHRigvRi5GLUkmcmlnaHRHRigsJEkpaW5maW5pdHlHRiYhIiI=

de modo que o eixo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= em uma ass\303\255ntota vertical para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiWUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHRj0tSShtZmVuY2VkR0YkNiQtRiM2JC1GLzYlUSJ4RidGMkY1Rj5GPkY+, e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiWUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHRj0tSShtZmVuY2VkR0YkNiQtRiM2JC1GLzYlUSJ4RidGMkY1Rj5GPkY+ \303\251 ilimitado em qualquer intervalo que inclua LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=.

Afun\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHRj0tSShtZmVuY2VkR0YkNiQtRiM2JC1GLzYlUSJ4RidGMkY1Rj5GPkY+ \303\251 bem aproximada por

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjpRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZELyUpc3RyZXRjaHlHRkQvJSpzeW1tZXRyaWNHRkQvJShsYXJnZW9wR0ZELyUubW92YWJsZWxpbWl0c0dGRC8lJ2FjY2VudEdGRC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlMtRiM2KEYrLUYjNictRiw2JVEkY29zRicvRjdGREZALUY9Nj9RMCZBcHBseUZ1bmN0aW9uO0YnLyUnZmFtaWx5R1Emc2VyaWZGJy8lJXNpemVHUSMxMkYnLyUlYm9sZEdGOEZnbi8lKnVuZGVybGluZUdGRC8lKnN1YnNjcmlwdEdGRC8lLHN1cGVyc2NyaXB0R0ZELyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRicvJSdvcGFxdWVHRkQvJStleGVjdXRhYmxlR0ZELyUpcmVhZG9ubHlHRkQvJSljb21wb3NlZEdGRC8lKmNvbnZlcnRlZEdGRC8lK2ltc2VsZWN0ZWRHRkQvJSxwbGFjZWhvbGRlckdGRC8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdGRC9GOlElYm9sZEYnLyUrZm9udHdlaWdodEdGYHFGQkZFRkdGSUZLRk1GTy9GUlEmMC4wZW1GJy9GVUZkcS1JKG1mZW5jZWRHRiQ2JC1GIzYnRistRiM2Jy1GLDYlUSJ4RidGNkY5LUY9Ni1RKCZtaW51cztGJ0ZARkJGRUZHRklGS0ZNRk8vRlJRLDAuMjIyMjIyMmVtRicvRlVGZHItSSZtZnJhY0dGJDYoLUYjNiUtRiw2JVEnJiM5NjA7RidGZ25GQEZhcEZALUYjNiUtSSNtbkdGJDYkUSI0RidGQEZhcEZALyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zpcy8lKWJldmVsbGVkR0ZERmFwRkBGK0ZhcEZARkBGYXBGQC1GPTY+UTEmSW52aXNpYmxlVGltZXM7RidGW29GXm8vRmJvRkRGZ25GY29GZW9GZ29GaW9GXHBGX3BGYXBGY3BGZXBGZ3BGaXBGW3FGXXFGQEZCRkVGR0ZJRktGTUZPRmNxRmVxLUkmbXNxcnRHRiQ2Iy1GZ3I2KC1GIzYlLUZhczYkUSIyRidGQEZhcEZALUYjNidGW3NGXnRGXXJGYXBGQEZkc0Znc0Zqc0ZcdEZhcEZARitGYXBGQEYrRmFwRkBGK0ZhcEZA

KigtSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IywmSSJ4R0YoIiIiKiYjRiwiIiVGLEkjUGlHRiZGLEYsRiwpIiIjI0YsRjJGLCkqJkYwISIiRitGNkYzRiw=

como confirmamos na Figura 2, onde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHRj0tSShtZmVuY2VkR0YkNiQtRiM2JC1GLzYlUSJ4RidGMkY1Rj5GPkY+ \303\251 grafada em preto, e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj1GPQ== em vermelho.

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<Text-field style="Heading 2" layout="Heading 2">Condi\303\247\303\243o Homog\303\252nea de Dirichlet</Text-field>

A solu\303\247\303\243o do problema singular de autovalor de Sturm-Liouville

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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRImNGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUkjbW5HRiQ2JFEiMEYnRj1GPQ==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInJGJ0YvRjIvRjNRJ25vcm1hbEYnRj1GPQ== limitado em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYmLUYjNiYtSSNtbkdGJDYkUSIwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictSSNtaUdGJDYlUSJjRicvJSdpdGFsaWNHRkAvRjVRJ2l0YWxpY0YnRjRGNC8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJ0Y0

Consiste dos autovalores LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUYvNiVRImtGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNQ== (os zeros de 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) e as autofun\303\247\303\265es 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

Os n\303\272meros 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\303\243o representados simbolicamente por

LUktQmVzc2VsSlplcm9zRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQiIiE7IiIiIiM1

e em forma de ponto flutuante por

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

NiwkIitlYiNbUyMhIiokIis1InkrXyZGJSQiKzh6c2AnKUYlJCIrV006ejYhIikkIityPDQkXCJGLCQiKyhSMXIhPUYsJCIrak87QEBGLCQiK2ByQ05DRiwkIis4ek1cRkYsJCIrWjFZaklGLA==

Como o Maple reconhece os autovalores como exatos \303\251 mostrado por

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Se, por exemplo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjJGJ0Y5Rjk=, os autovalores LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUYvNiVRImtGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNQ== devem ser

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

NywkIit6RlQtNyEiKiQiK2IhUit3I0YlJCIrY1Inb0slRiUkIis/c3cmKmVGJSQiK2IpZWFZKEYlJCIrJik+YE4hKkYlJCIrSz1lZzUhIikkIit3Tmk8N0YyJCIrY1JudThGMiQiK0MudEo6RjI=

A Figura 3 mostra as primeiras tr\303\252s autofun\303\247\303\265es para o acaso LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzIuRidGOUY5

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

Figura 3 Para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjJGJ0Y5LUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkgvRktRJjAuMGVtRicvRk5RLDAuMzMzMzMzM2VtRidGOQ==as primeiras tr\303\252s autofun\303\247\303\265es em preto, vermelho, e verde, respectivamente

As autofun\303\247\303\265es s\303\243o ortogonais com respeito \303\240 fun\303\247\303\243o peso LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEid0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInJGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZURjpGPQ==, como pode ser vista pela integral

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

Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKihJInJHRigiIiItSShCZXNzZWxKR0YlNiQiIiEqJiZJI211R0YoNiNJImpHRihGLEYrRixGLC1GLjYkRjAqJiZGMzYjSSJrR0YoRixGK0YsRiwvRis7RjBJImNHRigqKEY+RiwsJiooLUYuNiRGMComRjJGLEY+RixGLC1GLjYkRiwqJkY5RixGPkYsRixGOUYsISIiKigtRi42JEYsRkRGLEYyRiwtRi42JEYwRkdGLEYsRiwsJiokKUYyIiIjRixGLCokKUY5RlFGLEZIRkg=

que desaparece se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUYvNiVRImpGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNQ== e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUYvNiVRImtGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNQ== s\303\243o autovalores distintos para o intervalo 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 Fazendo uso das representa\303\247\303\265es embutidas do Maple dos zeros de 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n\303\263s tamb\303\251m temos

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

Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKihJInJHRigiIiItSShCZXNzZWxKR0YlNiQiIiEqKC1JLUJlc3NlbEpaZXJvc0dGJTYkRjBJIm5HRihGLEkiY0dGKCEiIkYrRixGLC1GLjYkRjAqKC1GMzYkRjBJIm1HRihGLEY2RjdGK0YsRiwvRis7RjBGNkYw

Infelizmente, o Maple ainda n\303\243o detecta que esse resultado n\303\243o \303\251 v\303\241lido se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJtRidGL0YyLUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkgvRktRJjAuMGVtRicvRk5RLDAuMzMzMzMzM2VtRidGOQ==em cujo caso a integral avalia-se a

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNiktSSdtdW5kZXJHRiQ2JS1JI21vR0YkNi1RJGxpbUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPy8lKXN0cmV0Y2h5R0Y/LyUqc3ltbWV0cmljR0Y/LyUobGFyZ2VvcEdGPy8lLm1vdmFibGVsaW1pdHNHUSV0cnVlRicvJSdhY2NlbnRHRj8vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4xNjY2NjY3ZW1GJy1GIzYnLUklbXN1YkdGJDYlLUYsNiVRJyYjOTU2O0YnLyUnaXRhbGljR0Y/RjotRiM2JS1GLDYlUSJqRicvRmZuRkovRjtRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdGP0Y6LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRjc2LVEoJiM4NTk0O0YnRjpGPUZARkJGREZGL0ZJRj9GS0ZNL0ZRRk8tRlY2JUZYLUYjNiUtRiw2JVEia0YnRlxvRl1vRl9vRjpGYW9GX29GOi8lLGFjY2VudHVuZGVyR0Y/RistSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuNGVtRicvJSZkZXB0aEdGZ3AvJSpsaW5lYnJlYWtHUSVhdXRvRictRiM2Jy1GLDYlUSRyaHNGJ0Zcb0Zdby1GNzY/UTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRJnNlcmlmRicvJSVzaXplR1EjMTJGJy8lJWJvbGRHRkpGZW4vJSp1bmRlcmxpbmVHRj8vJSpzdWJzY3JpcHRHRj8vJSxzdXBlcnNjcmlwdEdGPy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0Y/Rl9vLyUpcmVhZG9ubHlHRj8vJSljb21wb3NlZEdGPy8lKmNvbnZlcnRlZEdGPy8lK2ltc2VsZWN0ZWRHRj8vJSxwbGFjZWhvbGRlckdGPy8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdGPy9GO1ElYm9sZEYnLyUrZm9udHdlaWdodEdGW3RGPUZARkJGREZGRmdvRktGTUZoby1JKG1mZW5jZWRHRiQ2JC1GIzYnRistSShtYWN0aW9uR0YkNiUtSSptdmVyYmF0aW1HRiQ2I1FqYm0vLUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKEkickc2IiIiIi1JKEJlc3NlbEpHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCIiISomJkkjbXVHNiI2I0kiakc2IiIiIkkickc2IiIiIiIiIi1JKEJlc3NlbEpHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCIiISomJkkjbXVHNiI2I0kia0c2IiIiIkkickc2IiIiIiIiIi9JInJHNiI7IiIhSSJjRzYiKihJImNHNiIiIiIsJiooLUkoQmVzc2VsSkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkIiIhKiYmSSNtdUc2IjYjSSJqRzYiIiIiSSJjRzYiIiIiIiIiLUkoQmVzc2VsSkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkIiIiKiYmSSNtdUc2IjYjSSJrRzYiIiIiSSJjRzYiIiIiIiIiJkkjbXVHNiI2I0kia0c2IiIiIiEiIiooLUkoQmVzc2VsSkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkIiIiKiYmSSNtdUc2IjYjSSJqRzYiIiIiSSJjRzYiIiIiIiIiJkkjbXVHNiI2I0kiakc2IiIiIi1JKEJlc3NlbEpHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCIiISomJkkjbXVHNiI2I0kia0c2IiIiIkkiY0c2IiIiIiIiIiIiIiIiIiwmKiQpJkkjbXVHNiI2I0kiakc2IiIiIyIiIiIiIiokKSZJI211RzYiNiNJImtHNiIiIiMiIiIhIiIhIiJGJy8lK2FjdGlvbnR5cGVHUTptYXBsZXNvZnQuY29tOmxhYmVsKEwyMTYpRicvJSV2aWV3R1EmbGFiZWxGJ0YrRl9vRjpGOkZfb0Y6RitGX29GOkYrRl9vRjpGK0Zfb0Y6

LCYqKCMiIiIiIiNGJSlJImNHNiJGJkYlKS1JKEJlc3NlbEpHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRik2JEYlKiYmSSNtdUdGKTYjSSJrR0YpRiVGKEYlRiZGJUYlKihGJEYlRidGJSktRiw2JCIiIUYxRiZGJUYl

Uma vez que 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esse resultado simplifica para 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 Desse modo, sob condi\303\247\303\265es adequadas, uma fun\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInJGJ0YvRjIvRjNRJ25vcm1hbEYnRj1GPQ== pode ser representada pela s\303\251rie de Fourier-Bessel 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onde

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

e o autovalor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUYvNiVRImtGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNQ== \303\251 o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=\303\251simo zero de 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.

<Text-field style="Heading 2" layout="Heading 2">Condi\303\247\303\243o Homog\303\252nea de Neumann</Text-field>

A solu\303\247\303\243o do problema singular de autovalor de Sturm-Liouville

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

consiste dos autovalores LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NjM7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUYvNiVRImtGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNQ== (os zeros de 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) e das autofun\303\247\303\265es 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

Os n\303\272meros LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYxLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1JJW1zdWJHRiQ2JS1GLDYlUScmIzk2MztGJy9GMEY9RjktRiM2JC1GLDYlUSJrRidGL0YyRjkvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GNjYtUSIsRidGOUY7L0Y/RjFGQEZCRkRGRkZIRkovRk5RLDAuMzMzMzMzM2VtRidGWC1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORmJvLUkjbW5HRiQ2JEZnbkY5RmhuLUZlbzYkUSIxRidGOUZobi1GNjYtUScmbWxkcjtGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMTY2NjY2N2VtRicvRk5GXnBGaG4tRmVvNiRRIzEwRidGOUZobkY5s\303\243o representadas simbolicamente por

NiQiIiEtSS1CZXNzZWxKWmVyb3NHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCIiIjtGKyIjNQ==

e da forma ponto flutuante por

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

Ni0kIiIhRiQkIitxZnFKUSEiKiQiK3FtZTpxRickIis5b008NSEiKSQiKyU+cEJMIkYsJCIrMEkxWjtGLCQiK15lZWg+RiwkIitRJTNnRiNGLCQiKzRzTyFmI0YsJCIrYUdvL0hGLCQiKyIqeicqPUtGLA==

onde usamos a rela\303\247\303\243o 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 Note com cuidado que 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 para inteiros positivos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=.

A Figura 4 mostra as primeiras tr\303\252s autofun\303\247\303\265es para o caso LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzEuRidGOUY5

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

Figura 4 Para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjFGJ0Y5LUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkgvRktRJjAuMGVtRicvRk5RLDAuMzMzMzMzM2VtRidGOQ==as primeiras tr\303\252s autofun\303\247\303\265es em preto, vermolho, e cerde, respectivamente

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

Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKihJInJHRigiIiItSShCZXNzZWxKR0YlNiQiIiEqJiZJJnNpZ21hR0YoNiNJImpHRihGLEYrRixGLC1GLjYkRjAqJiZGMzYjSSJrR0YoRixGK0YsRiwvRis7RjBJImNHRigqKEY+RiwsJiooLUYuNiRGMComRjJGLEY+RixGLC1GLjYkRiwqJkY5RixGPkYsRixGOUYsRiwqKC1GLjYkRixGREYsRjJGLC1GLjYkRjBGR0YsISIiRiwsJiokKUYyIiIjRixGTSokKUY5RlFGLEYsRk0=

que desaparece se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NjM7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUYvNiVRImpGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNQ== e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NjM7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUYvNiVRImtGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNQ== s\303\243o autovalores distintos para o intervalo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYmLUYjNiYtSSNtbkdGJDYkUSIwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictSSNtaUdGJDYlUSJjRicvJSdpdGFsaWNHRkAvRjVRJ2l0YWxpY0YnRjRGNC8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJy1GODYtUSIuRidGNEY7L0Y/Rj1GQUZDRkVGR0ZJRksvRk9GTUY0 Claro, o Maple utilizou 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 para 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

Fazendo uso das representa\303\247\303\265es embutidas do MAple dos zeros de 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 tamb\303\251m

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

Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKihJInJHRigiIiItSShCZXNzZWxKR0YlNiQiIiEqKC1JLUJlc3NlbEpaZXJvc0dGJTYkRixJIm5HRihGLEkiY0dGKCEiIkYrRixGLC1GLjYkRjAqKC1GMzYkRixJIm1HRihGLEY2RjdGK0YsRiwvRis7RjBGNkYw

Como visto anteriormente, o Maple ainda n\303\243o detecta que esse resultado n\303\243o \303\251 v\303\241lido se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJtRidGL0YyLUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkgvRktRJjAuMGVtRicvRk5RLDAuMzMzMzMzM2VtRidGOQ==em cujo caso o intervalo se avalia para

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

LCYqKCMiIiIiIiNGJSlJImNHNiJGJkYlKS1JKEJlc3NlbEpHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRik2JEYlKiYmSSZzaWdtYUdGKTYjSSJrR0YpRiVGKEYlRiZGJUYlKihGJEYlRidGJSktRiw2JCIiIUYxRiZGJUYl

Uma vez que 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esse resultado simplifica para 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 Portanto, sob condi\303\247\303\265es favor\303\241veis, uma fun\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInJGJ0YvRjIvRjNRJ25vcm1hbEYnRj1GPQ== pode ser representada pela s\303\251rie de Fourier-Bessel 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

e o autovalor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NjM7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUYvNiVRImtGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNQ== \303\251 o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=\303\251simo zero de 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.

<Text-field style="Heading 1" layout="Heading 1">Assimetria Axial</Text-field>

<Text-field style="Heading 2" layout="Heading 2">Separa\303\247\303\243o de Vari\303\241veis</Text-field>

Se a temperatura prescrita no topo do cilindro \303\251 dada por 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ent\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInJGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRJyYjOTUyO0YnL0YwRkVGQUY9LUYsNiVRInpGJ0YvRjJGQUZBRkE= obedece \303\240 equa\303\247\303\243o de Laplacena forma

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

LywqKiZJInJHNiIhIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUdGJjYlRiVJJnRoZXRhR0YmSSJ6R0YmRiUiIiJGMS1GKTYkRihGJUYxKiYpRiUiIiNGJy1GKTYkLUYpNiRGLEYvRi9GMUYxLUYpNiQtRik2JEYsRjBGMEYxIiIh

A suposta separa\303\247\303\243o

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

KigtSSJSRzYiNiNJInJHRiUiIiItSSZUaGV0YUdGJTYjSSZ0aGV0YUdGJUYoLUkiWkdGJTYjSSJ6R0YlRig=

leva a

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Movendo o termo em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= para o lado direito nos deixa a equa\303\247\303\243o

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Introduzindo a constante de separa\303\247\303\243o de Bernoulli LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy ent\303\243o d\303\241

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LywoKigtSSJSRzYiNiNJInJHRichIiJGKUYqLUklZGlmZkclKnByb3RlY3RlZEc2JEYlRikiIiJGLyomRiVGKi1GLDYkRitGKUYvRi8qKC1JJlRoZXRhR0YnNiNJJnRoZXRhR0YnRiopRikiIiNGKi1GLDYkLUYsNiRGNEY3RjdGL0YvLCRJJ2xhbWJkYUdGJ0Yq

LywkKiYtSSJaRzYiNiNJInpHRichIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUYsNiRGJUYpRikiIiJGKiwkSSdsYW1iZGFHRidGKg==

A primeira dessas equa\303\247\303\265es \303\251 de interesse imediato. Primeiro multiplicamos por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0Y+LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y+ para que o termo contendo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5MjA7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRJyYjOTUyO0YnRi9GMkYyRjJGMg== contenha somente a vari\303\241vel independente LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIi5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSUYy Isso d\303\241 a equa\303\247\303\243o

LywoKihJInJHNiIiIiItSSJSR0YmNiNGJSEiIi1JJWRpZmZHJSpwcm90ZWN0ZWRHNiRGKEYlRidGJyooKUYlIiIjRidGKEYrLUYtNiRGLEYlRidGJyomLUkmVGhldGFHRiY2I0kmdGhldGFHRiZGKy1GLTYkLUYtNiRGNkY5RjlGJ0YnLCQqJkYxRidJJ2xhbWJkYUdGJkYnRis=

Depois, gostar\303\255amos de mover o termo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSVtc3VwR0YkNiUtSSNtaUdGJDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUYjNiQtSSNtbkdGJDYkUSIyRidGL0YvLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRmluLUZKNiVRJyYjOTU1O0YnL0ZORjRGL0Yv para a esquerda, e ent\303\243o o termo contendo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy para a esquerda. A primeira transforma\303\247\303\243o \303\251 dada por

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEicUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEjMTdGJy9GNlEnbm9ybWFsRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSomY29sb25lcTtGJ0Y+LyUmZmVuY2VHRkIvJSpzZXBhcmF0b3JHRkIvJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGWi1GIzYnLUYvNiVRJGxoc0YnRjJGNS1GRzY/UTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRJnNlcmlmRicvJSVzaXplR1EjMTJGJy8lJWJvbGRHRjQvRjNGQi8lKnVuZGVybGluZUdGQi8lKnN1YnNjcmlwdEdGQi8lLHN1cGVyc2NyaXB0R0ZCLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRicvJSdvcGFxdWVHRkJGQC8lKXJlYWRvbmx5R0ZCLyUpY29tcG9zZWRHRkIvJSpjb252ZXJ0ZWRHRkIvJStpbXNlbGVjdGVkR0ZCLyUscGxhY2Vob2xkZXJHRkIvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHRkIvRjZRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRmNxRkpGTEZORlBGUkZURlYvRllRJjAuMGVtRicvRmZuRmdxLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JUYuLUYjNiUtRjs2JFEjMTZGJ0Y+RkBGPkZDRkBGPkY+RkBGPi1GRzYtUSgmbWludXM7RidGPkZKRkxGTkZQRlJGVEZWL0ZZUSwwLjIyMjIyMjJlbUYnL0ZmbkZpci1GIzYnLUYvNiVRJHJoc0YnRjJGNUZcb0ZpcUZARj4tRkc2LVEiPUYnRj5GSkZMRk5GUEZSRlRGVkZYRmVuLUY7NiRGRUY+RkBGPg==

LywqKihJInJHNiIiIiItSSJSR0YmNiNGJSEiIi1JJWRpZmZHJSpwcm90ZWN0ZWRHNiRGKEYlRidGJyooKUYlIiIjRidGKEYrLUYtNiRGLEYlRidGJyomLUkmVGhldGFHRiY2I0kmdGhldGFHRiZGKy1GLTYkLUYtNiRGNkY5RjlGJ0YnKiZGMUYnSSdsYW1iZGFHRiZGJ0YnIiIh

e a segunda, por

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNiktRiw2JVEldGVtcEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjpRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZELyUpc3RyZXRjaHlHRkQvJSpzeW1tZXRyaWNHRkQvJShsYXJnZW9wR0ZELyUubW92YWJsZWxpbWl0c0dGRC8lJ2FjY2VudEdGRC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlMtRiw2JVEnc2VsZWN0RidGNkY5LUkobWZlbmNlZEdGJDYkLUYjNiktRiw2JVEkaGFzRidGNkY5LUY9Ni1RIixGJ0ZARkIvRkZGOEZHRklGS0ZNRk8vRlJRJjAuMGVtRicvRlVRLDAuMzMzMzMzM2VtRictRiM2Jy1GLDYlUSRsaHNGJ0Y2RjktRj02P1EwJkFwcGx5RnVuY3Rpb247RicvJSdmYW1pbHlHUSZzZXJpZkYnLyUlc2l6ZUdRIzEyRicvJSVib2xkR0Y4L0Y3RkQvJSp1bmRlcmxpbmVHRkQvJSpzdWJzY3JpcHRHRkQvJSxzdXBlcnNjcmlwdEdGRC8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0ZELyUrZXhlY3V0YWJsZUdGRC8lKXJlYWRvbmx5R0ZELyUpY29tcG9zZWRHRkQvJSpjb252ZXJ0ZWRHRkQvJStpbXNlbGVjdGVkR0ZELyUscGxhY2Vob2xkZXJHRkQvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHRkQvRjpRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRmFyRkJGRUZHRklGS0ZNRk9GX28vRlVGYG8tRlo2JC1GIzYlLUklbXN1YkdGJDYlLUYsNiVRInFGJ0Y2RjktRiM2JS1JI21uR0YkNiRRIzE3RidGQEZicUZALyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGYnFGQEZARmJxRkBGW28tRiw2JVEnJiM5NTI7RidGY3BGQEZicUZARkAtRj02LVEiOkYnRkBGQkZFRkdGSUZLRk1GT0ZRRlRGYnFGQEYrRmJxRkBGK0ZicUZA 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

LywoKihJInJHNiIiIiItSSJSR0YmNiNGJSEiIi1JJWRpZmZHJSpwcm90ZWN0ZWRHNiRGKEYlRidGJyooKUYlIiIjRidGKEYrLUYtNiRGLEYlRidGJyomRjFGJ0knbGFtYmRhR0YmRidGJywkKiYtSSZUaGV0YUdGJjYjSSZ0aGV0YUdGJkYrLUYtNiQtRi02JEY5RjxGPEYnRis=

Introduzindo uma nova constante de separa\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIixGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMg==temos as duas equa\303\247\303\265es diferenciais ordin\303\241rias

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

LywoKihJInJHNiIiIiItSSJSR0YmNiNGJSEiIi1JJWRpZmZHJSpwcm90ZWN0ZWRHNiRGKEYlRidGJyooKUYlIiIjRidGKEYrLUYtNiRGLEYlRidGJyomRjFGJ0knbGFtYmRhR0YmRidGJ0kjbnVHRiY=

LywkKiYtSSZUaGV0YUc2IjYjSSZ0aGV0YUdGJyEiIi1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiw2JEYlRilGKSIiIkYqSSNudUdGJw==

A segunda equa\303\247\303\243o pode ser colocada na forma

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

LywmLUklZGlmZkclKnByb3RlY3RlZEc2JC1GJTYkLUkmVGhldGFHNiI2I0kmdGhldGFHRixGLkYuIiIiKiZGKkYvSSNudUdGLEYvRi8iIiE=

e possui uma solu\303\247\303\243o geral

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

Ly1JJlRoZXRhRzYiNiNJJnRoZXRhR0YlLCYqJkkkX0MxR0YlIiIiLUkkc2luRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiMqJilJI251R0YlI0YrIiIjRitGJ0YrRitGKyomSSRfQzJHRiVGKy1JJGNvc0dGLkYxRitGKw==

A continuidade de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInJGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRJyYjOTUyO0YnL0YwRkVGQUY9LUYsNiVRInpGJ0YvRjJGQUZBRkE= implica as condi\303\247\303\265es peri\303\263dicas de limite

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

Impondo essas condi\303\247\303\265es leva a

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

LywkKigiIiMiIiJJJF9DMUc2IkYmLUkkc2luRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YoNiMqJilJI251R0YoI0YmRiVGJkkjUGlHRixGJkYmISIiIiIh

LywkKioiIiMiIiJJJF9DMkc2IkYmLUkkc2luRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YoNiMqJilJI251R0YoI0YmRiVGJkkjUGlHRixGJkYmRjBGJkYmIiIh

dos quais vemos que 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 note que para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=, o autoespa\303\247o possui dimens\303\243o 1 e base LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYmLUYjNiQtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRjRGNC8lJW9wZW5HUSJ8ZnJGJy8lJmNsb3NlR1EifGhyRidGNA==, mas para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RLyZHcmVhdGVyRXF1YWw7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSIxRidGOUY5 os autoespa\303\247os possuem dimens\303\243o 2 e bases 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.

A equa\303\247\303\243o para o componente radial LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInJGJ0YvRjIvRjNRJ25vcm1hbEYnRj1GPQ== agora possui a forma

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

LywoLUklZGlmZkclKnByb3RlY3RlZEc2JC1JIlJHNiI2I0kickdGKkYsIiIiKiZGLEYtLUYlNiRGJEYsRi1GLSooRixGLUYoRi1JJ2xhbWJkYUdGKkYtRi0qKEYsISIiRihGLSlJIm5HRioiIiNGLQ==

Ap\303\263s mover todos os termos para a esquerda, obtemos a forma auto-adjunta como

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

LywoKiYsJiomSSJyRzYiIiIiSSdsYW1iZGFHRihGKUYpKiZGJyEiIilJIm5HRigiIiNGKUYsRiktSSJSR0YoNiNGJ0YpRiktSSVkaWZmRyUqcHJvdGVjdGVkRzYkRjBGJ0YpKiZGJ0YpLUY0NiRGM0YnRilGKSIiIQ==

A solu\303\247\303\243o dessa equa\303\247\303\243o \303\251 dada por

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

Ly1JIlJHNiI2I0kickdGJSwmKiZJJF9DMUdGJSIiIi1JKEJlc3NlbEpHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2JEkibkdGJSomKUknbGFtYmRhR0YlI0YrIiIjRitGJ0YrRitGKyomSSRfQzJHRiVGKy1JKEJlc3NlbFlHRi5GMUYrRis=

sugerida primeiramente, a substitui\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnJiM5NTU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS1JJW1zdXBHRiQ2JS1GLDYlUScmIzk1NjtGJ0YvRjItRiM2JC1JI21uR0YkNiRRIjJGJ0YyRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjI= de modo que a equa\303\247\303\243o para a componente radial se torna

LywoKiYsJiomSSJyRzYiIiIiKUkjbXVHRigiIiNGKUYpKiZGJyEiIilJIm5HRihGLEYpRi5GKS1JIlJHRig2I0YnRilGKS1JJWRpZmZHJSpwcm90ZWN0ZWRHNiRGMUYnRikqJkYnRiktRjU2JEY0RidGKUYpIiIh

Uma vez que a solu\303\247\303\243o dessa forma da equa\303\247\303\243o se torne

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

Ly1JIlJHNiI2I0kickdGJSwmKiZJJF9DMUdGJSIiIi1JKEJlc3NlbEpHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2JEkibkdGJSomSSNtdUdGJUYrRidGK0YrRisqJkkkX0MyR0YlRistSShCZXNzZWxZR0YuRjFGK0Yr

fazemos a mudan\303\247a de vari\303\241veis 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 tal que 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 Essa mudan\303\247a \303\251 implemento do Maple via

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

LywoKiYsJiomSSJ4RzYiIiIiSSNtdUdGKEYpRikqKEYnISIiRipGKSlJIm5HRigiIiNGKUYsRiktSSJ5R0YoNiNGJ0YpRikqJkYqRiktSSVkaWZmRyUqcHJvdGVjdGVkRzYkRjBGJ0YpRikqKEYnRilGKkYpLUY1NiRGNEYnRilGKSIiIQ==

Sob a hip\303\263tese que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RKyZOb3RFcXVhbDtGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS1JI21uR0YkNiRRIjBGJ0YyLUY2Ni1RIixGJ0YyRjkvRjxRJXRydWVGJ0Y9Rj9GQUZDRkUvRkhRJjAuMGVtRicvRktRLDAuMzMzMzMzM2VtRidGMg==essa equa\303\247\303\243o simplifica para

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEicUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEjMjVGJy9GNlEnbm9ybWFsRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSomY29sb25lcTtGJ0Y+LyUmZmVuY2VHRkIvJSpzZXBhcmF0b3JHRkIvJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGWi1GLzYlUShjb2xsZWN0RidGMkY1LUkobWZlbmNlZEdGJDYkLUYjNiktRi82I1EhRictRiM2Jy1GLzYlUSdleHBhbmRGJ0YyRjUtRkc2P1EwJkFwcGx5RnVuY3Rpb247RicvJSdmYW1pbHlHUSZzZXJpZkYnLyUlc2l6ZUdRIzEyRicvJSVib2xkR0Y0L0YzRkIvJSp1bmRlcmxpbmVHRkIvJSpzdWJzY3JpcHRHRkIvJSxzdXBlcnNjcmlwdEdGQi8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0ZCRkAvJSlyZWFkb25seUdGQi8lKWNvbXBvc2VkR0ZCLyUqY29udmVydGVkR0ZCLyUraW1zZWxlY3RlZEdGQi8lLHBsYWNlaG9sZGVyR0ZCLyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0ZCL0Y2USVib2xkRicvJStmb250d2VpZ2h0R0ZeckZKRkxGTkZQRlJGVEZWL0ZZUSYwLjBlbUYnL0ZmbkZici1GW282JC1GIzYlLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVGLi1GIzYlLUY7NiRRIzI0RidGPkZARj5GQ0ZARj4tRiM2JS1GLzYlUScmIzk1NjtGJ0ZicEY+RkBGPi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGXnQvJSliZXZlbGxlZEdGQkZARj5GPkZARj4tRkc2LVEiLEYnRj5GSi9GTUY0Rk5GUEZSRlRGVkZhci9GZm5RLDAuMzMzMzMzM2VtRictRiM2Jy1GLzYlUSJ5RidGMkY1RmdvLUZbbzYkLUYjNiUtRi82JVEieEYnRjJGNUZARj5GPkZARj5GX29GQEY+Rj5GQEY+

LywoKiYsJkkieEc2IiIiIiomRiYhIiIpSSJuR0YnIiIjRihGKkYoLUkieUdGJzYjRiZGKEYoLUklZGlmZkclKnByb3RlY3RlZEc2JEYuRiZGKComRiZGKC1GMjYkRjFGJkYoRigiIiE=

uma equa\303\247\303\243o de Bessel de ordem LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, e possui solu\303\247\303\243o geral

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

Ly1JInlHNiI2I0kieEdGJSwmKiZJJF9DMUdGJSIiIi1JKEJlc3NlbEpHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2JEkibkdGJUYnRitGKyomSSRfQzJHRiVGKy1JKEJlc3NlbFlHRi5GMUYrRis=

<Text-field style="Heading 2" layout="Heading 2">Condi\303\247\303\243o Homog\303\252nea de Dirichlet</Text-field>

A continuidade em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JFEiMEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RJiZsZXE7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0YyLUZLNiVRImNGJ0ZORlFGLw== implica que 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onde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy \303\251 constante. A condi\303\247\303\243o homog\303\252nea de Dirichlet 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 implica 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 modo que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1GLDYlUSJjRicvRjBRJXRydWVGJy9GM1EnaXRhbGljRidGMg== deve ser um zero de 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 Se denotarmos o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=\303\251simo zero de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUYvNiVRIm5GJ0YyRjUvRjZRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLzYlUSJ4RidGMkY1Rj1GPUY9 por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEkQkpaRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiYtRiw2JVEibkYnRi9GMi1JI21vR0YkNi1RIixGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGRS8lKnN5bW1ldHJpY0dGRS8lKGxhcmdlb3BHRkUvJS5tb3ZhYmxlbGltaXRzR0ZFLyUnYWNjZW50R0ZFLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRiw2JVEia0YnRi9GMkZBRkFGPUZBent\303\243o 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 representa um conjunto duplamente indexado de autovalores para os quais as autofun\303\247\303\265es correspondentes s\303\243o

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Para estabelecer a ortogonalidade dessas autofun\303\247\303\265es, teremos que avaliar a integral

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

LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKEkickdGJyIiIi1JKEJlc3NlbEpHRiQ2JEkibkdGJyomJkkjbXVHRic2I0kiakdGJ0YrRipGK0YrLUYtNiRGLyomJkYyNiNJImtHRidGK0YqRitGKy9GKjsiIiFJImNHRic=

onde o sobrescrito LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiQtSSNtaUdGJDYlUSJuRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0Y4USdub3JtYWxGJ0Y6Rjo= foi tirado dos distintos autovalores LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobXN1YnN1cEdGJDYoLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUYvNiVRImpGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LUYjNiQtSShtZmVuY2VkR0YkNiQtRiM2JC1GLzYlUSJuRidGPUY/RjVGNUY1LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy8lL3N1YnNjcmlwdHNoaWZ0R0ZNL0krbXNlbWFudGljc0dGJFEsW25vbmUsbm9uZV1GJ0Y1 e 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 Para essa integral o Maple fornece

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

KihJImNHNiIiIiIsJiooJkkjbXVHRiQ2I0kia0dGJEYlLUkoQmVzc2VsSkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYkSSJuR0YkKiYmRik2I0kiakdGJEYlRiNGJUYlLUYtNiQsJkYyRiVGJSEiIiomRihGJUYjRiVGJUYlKihGNEYlLUYtNiRGOUYzRiUtRi02JEYyRjtGJUY6RiUsJiokKUY0IiIjRiVGJSokKUYoRkRGJUY6Rjo=

que claramente desaparece pela defini\303\247\303\243o dos autovalores LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobXN1YnN1cEdGJDYoLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUYvNiVRImpGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LUYjNiQtSShtZmVuY2VkR0YkNiQtRiM2JC1GLzYlUSJuRidGPUY/RjVGNUY1LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy8lL3N1YnNjcmlwdHNoaWZ0R0ZNL0krbXNlbWFudGljc0dGJFEsW25vbmUsbm9uZV1GJ0Y1 e 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

A fun\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInJGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRJyYjOTUyO0YnL0YwRkVGQUY9LUYsNiVRInpGJ0YvRjJGQUZBRkE= ser\303\241 dada por uma s\303\251rie de Fourier-Bessel na qual uma soma dupla \303\251 tomada sobre LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=. Os coeficientes nessa s\303\251rie requerem que avaliemos a integral

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2LVErJkludGVncmFsO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmdW5zZXRGJy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGPC8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYjNiQtSSNtbkdGJDYkUSIwRidGMkYyLUYjNiQtSSNtaUdGJDYlUSJjRicvJSdpdGFsaWNHRjwvRjNRJ2l0YWxpY0YnRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R0ZPLyUvc3Vic2NyaXB0c2hpZnRHRk8tRlM2JVEickYnRlZGWC1GLzYtUSJ+RidGMi9GNlEmZmFsc2VGJy9GOUZfby9GO0Zfby9GPkZfby9GQEZfby9GQkZfby9GREZfb0ZFRkgtRiw2KC1GUzYlUSJKRidGVkZYLUYjNiQtRlM2JVEibkYnRlZGWEYyLUYjNiQtRk02JFEiMkYnRjJGMkZaRmZuL0krbXNlbWFudGljc0dGJFEsW25vbmUsbm9uZV1GJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNigtRlM2JVEnJiM5NTY7RicvRldGX29GMi1GIzYkLUZTNiVRImtGJ0ZWRlhGMi1GIzYkLUZpcDYkRltwRjJGMkZaRmZuRmVwRmhuRjJGMkZbby1GLzYuUTAmRGlmZmVyZW50aWFsRDtGJ0ZWRlhGNUY4L0Y7RjdGPS9GQEY3RkFGQ0ZFRkhGaG5GMg==

que entra no Maple como

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

LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJkkickdGJyIiIiktSShCZXNzZWxKR0YkNiRJIm5HRicqJi1JLUJlc3NlbEpaZXJvc0dGJDYkRjBJIm1HRidGK0YqRisiIiNGKy9GKjsiIiFJImNHRic=

Chamamos isso de "Rela\303\247\303\243o de Norma" desde que seja relacionada \303\240 norma-LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiTEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGPg== da autofun\303\247\303\243o.

Agora \303\251 lament\303\241vel que o Maple avalie incorretamente a integral para

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

KjQpIiIjLCZGJCEiIiomRiQiIiJJIm5HNiJGKEYmRigpSSJjR0YqLCZGKEYoRidGKEYoKUkjUGlHJSpwcm90ZWN0ZWRHI0YoRiRGKCktSS1CZXNzZWxKWmVyb3NHNiRGMEkoX3N5c2xpYkdGKjYkRilJIm1HRiosJkYoRiZGJ0YoRigpKiZGM0YoRixGKCwkRilGJkYoLUkoU3RydXZlSEdGNTYkRiksJCooRiRGKEYzRihGLEYoRihGKC1JJkdBTU1BR0Y1NiMsJkYpRigjIiIkRiRGKEYoLUZDNiMsJkYkRihGKUYoRiYtRkM2IywmRilGKEYoRihGJg==

um erro que foi corrigido para a pr\303\263xima libera\303\247\303\243o do produto. O valor correto dessa integral \303\251

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

como pode ser encontrado, por exemplo no artigo Boundary Value Problems, Ladis D. Kovach, Addison-Wesley Publishing Company, 1984. Consequentemente, temos

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 = 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 =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

H\303\241 uma sutileza adicional para se enfrentar. uma vez que 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 primeiro autovalor na sequ\303\252ncia LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobXN1YnN1cEdGJDYoLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUYvNiVRImtGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LUYjNiQtSShtZmVuY2VkR0YkNiQtRiM2JC1JI21uR0YkNiRRIjBGJ0Y1RjVGNUY1LyUxc3VwZXJzY3JpcHRzaGlmdEdGSy8lL3N1YnNjcmlwdHNoaWZ0R0ZLL0krbXNlbWFudGljc0dGJFEsW25vbmUsbm9uZV1GJ0Y1 n\303\243o \303\251 zero, ent\303\243o 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 corresponde \303\240 indexa\303\247\303\243o dispon\303\255vel via comando BesselJZeros do Maple. De fato, vemos que

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEmZXZhbGZGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDY/UTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRJnNlcmlmRicvJSVzaXplR1EjMTJGJy8lJWJvbGRHRjgvRjdRJmZhbHNlRicvJSp1bmRlcmxpbmVHRkkvJSpzdWJzY3JpcHRHRkkvJSxzdXBlcnNjcmlwdEdGSS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0ZJLyUrZXhlY3V0YWJsZUdGSS8lKXJlYWRvbmx5R0ZJLyUpY29tcG9zZWRHRkkvJSpjb252ZXJ0ZWRHRkkvJStpbXNlbGVjdGVkR0ZJLyUscGxhY2Vob2xkZXJHRkkvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHRkkvRjpRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRmFvLyUmZmVuY2VHRkkvJSpzZXBhcmF0b3JHRkkvJSlzdHJldGNoeUdGSS8lKnN5bW1ldHJpY0dGSS8lKGxhcmdlb3BHRkkvJS5tb3ZhYmxlbGltaXRzR0ZJLyUnYWNjZW50R0ZJLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGZHAtSShtZmVuY2VkR0YkNiQtRiM2J0YrLUYjNictRiw2JVEtQmVzc2VsSlplcm9zRidGSC9GOlEnbm9ybWFsRidGPC1GaHA2JC1GIzYnLUkjbW5HRiQ2JFEiMEYnRmFxLUY9Ni1RIixGJ0ZhcUZkby9GZ29GOEZob0Zqb0ZccEZecEZgcEZicC9GZnBRLDAuMzMzMzMzM2VtRictRmhxNiRRIjFGJ0ZhcUZYRmFxRmFxRlhGYXFGK0ZYRmFxRmFxRlhGYXFGK0ZYRmFxRitGWEZhcQ==

JCIrZWIjW1MjISIq

\303\251 o primeiro zero para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHRj1GPg==. No entanto, 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 para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RLyZHcmVhdGVyRXF1YWw7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSIxRidGOUY5, ent\303\243o o "primeiro zero" \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=, mas isso n\303\243o pode ser um autovalor por sua defini\303\247\303\243o, autovalores s\303\243o n\303\272meros para os quais n\303\243o existem solu\303\247\303\265es n\303\243o-triviais. Consequentemente, para a condi\303\247\303\243o homog\303\252nea de Dirichlet, cada sequ\303\252ncia LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobXN1YnN1cEdGJDYoLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUYvNiVRImtGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LUYjNiQtSShtZmVuY2VkR0YkNiQtRiM2JC1GLzYlUSJuRidGPUY/RjVGNUY1LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy8lL3N1YnNjcmlwdHNoaWZ0R0ZNL0krbXNlbWFudGljc0dGJFEsW25vbmUsbm9uZV1GJ0Y1 come\303\247a com LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjFGJ0Y5Rjk= para qualquer valor de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=. Essa indexa\303\247\303\243o \303\251 consistente com o comando BesselJZeros do Maple onde "1" no segundo argumento sempre d\303\241 o primeiro zero positivo.

<Text-field style="Heading 2" layout="Heading 2">Condi\303\247\303\243o Homog\303\252nea de Neumann</Text-field>

A condi\303\247\303\243o homog\303\252nea de Neumann 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 implica 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tal que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1GLDYlUSJjRicvRjBRJXRydWVGJy9GM1EnaXRhbGljRidGMg== deve ser um zero de 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEiLkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8= Se denotarmos o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=\303\251simo zero de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJ211bmRlckdGJDYlLUkjbW9HRiQ2LVEoJnByaW1lO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQC8lKXN0cmV0Y2h5R0ZALyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSwwLjExMTExMTFlbUYnLyUncnNwYWNlR1EmMC4wZW1GJy1GIzYkLUYsNiVRIm5GJ0YvRjJGPC8lLGFjY2VudHVuZGVyR0ZALUkobWZlbmNlZEdGJDYkLUYjNiQtRiw2JVEieEYnRi9GMkY8RjxGPA== por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnJiM5NTA7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRIm5GJy9GMFEldHJ1ZUYnL0YzUSdpdGFsaWNGJy1JI21vR0YkNi1RIixGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRj4vJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRiw2JVEia0YnRj1GP0YyRjJGQUYyent\303\243o 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 representa um conjunto duplamente indexado de autovalores para os quais as autofun\303\247\303\265es correspondentes s\303\243o

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

Para estabelecer a ortogonalidade dessas autofun\303\247\303\265es, teremos que mostrar que

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUTZPcnRob2dvbmFsaXR5UmVsYXRpb25GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GOFEnbm9ybWFsRidGK0Y6Rj0=

desaparece. Para esse final, buscamos eliminar LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYmLUYvNiVRIm5GJ0YyRjUtSSNtb0dGJDYtUSgmbWludXM7RicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZFLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRlQtSSNtbkdGJDYkUSIxRidGQUZBLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGQQ== e introduzir LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJ211bmRlckdGJDYlLUkjbW9HRiQ2LVEoJnByaW1lO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQC8lKXN0cmV0Y2h5R0ZALyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSwwLjExMTExMTFlbUYnLyUncnNwYWNlR1EmMC4wZW1GJy1GIzYkLUYsNiVRIm5GJ0YvRjJGPC8lLGFjY2VudHVuZGVyR0ZARjw=. Uma generaliza\303\247\303\243o da identidade 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 \303\251

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

Ly1JJURpZmZHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JKEJlc3NlbEpHRiU2JEkibkdGKEkiekdGKEYuLCYtRis2JCwmRi0iIiJGM0YzRi4hIiIqKEYtRjNGLkY0RipGM0Yz

Solucionando isso para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYmLUYvNiVRIm5GJ0YyRjUtSSNtb0dGJDYtUSIrRicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZFLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRlQtSSNtbkdGJDYkUSIxRidGQUZBLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGQQ== leva a

Ly1JKEJlc3NlbEpHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCwmSSJuR0YoIiIiRixGLEkiekdGKCwmLUklRGlmZkdGJTYkLUYkNiRGK0YtRi0hIiIqKEYrRixGLUY0RjJGLEYs

Substituindo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJ211bmRlckdGJDYlLUkjbW9HRiQ2LVEoJnByaW1lO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQC8lKXN0cmV0Y2h5R0ZALyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSwwLjExMTExMTFlbUYnLyUncnNwYWNlR1EmMC4wZW1GJy1GIzYkLUYsNiVRIm5GJ0YvRjJGPC8lLGFjY2VudHVuZGVyR0ZARjw= nessa equa\303\247\303\243o com seu valor da equa\303\247\303\243o anterior temos

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEicUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEjMjlGJy9GNlEnbm9ybWFsRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSomY29sb25lcTtGJ0Y+LyUmZmVuY2VHRkIvJSpzZXBhcmF0b3JHRkIvJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGWi1GLzYlUSdleHBhbmRGJ0YyRjUtSShtZmVuY2VkR0YkNiQtRiM2Jy1GLzYjUSFGJy1GIzYnLUYvNiVRJWV2YWxGJ0YyRjUtRkc2P1EwJkFwcGx5RnVuY3Rpb247RicvJSdmYW1pbHlHUSZzZXJpZkYnLyUlc2l6ZUdRIzEyRicvJSVib2xkR0Y0L0YzRkIvJSp1bmRlcmxpbmVHRkIvJSpzdWJzY3JpcHRHRkIvJSxzdXBlcnNjcmlwdEdGQi8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0ZCRkAvJSlyZWFkb25seUdGQi8lKWNvbXBvc2VkR0ZCLyUqY29udmVydGVkR0ZCLyUraW1zZWxlY3RlZEdGQi8lLHBsYWNlaG9sZGVyR0ZCLyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0ZCL0Y2USVib2xkRicvJStmb250d2VpZ2h0R0ZeckZKRkxGTkZQRlJGVEZWL0ZZUSYwLjBlbUYnL0ZmbkZici1GW282JC1GIzYrLUYvNiVRKEJlc3NlbEpGJ0ZicEY+LUZbbzYkLUYjNihGX28tRiM2Jy1GLzYlUSJuRidGMkY1LUZHNi1RKCZtaW51cztGJ0Y+RkpGTEZORlBGUkZURlYvRllRLDAuMjIyMjIyMmVtRicvRmZuRmhzLUY7NiRRIjFGJ0Y+RkBGPi1GRzYtUSIsRidGPkZKL0ZNRjRGTkZQRlJGVEZWRmFyL0ZmblEsMC4zMzMzMzMzZW1GJy1GLzYlUSJ6RidGMkY1RkBGPkY+LUZHNi1RIj1GJ0Y+RkpGTEZORlBGUkZURlZGWEZlbi1GLzYlUSlzaW1wbGlmeUYnRjJGNS1GW282JC1GIzYnRl9vLUYjNidGaHJGZ29GW3NGQEY+Rl9vRkBGPkY+Rl10LUYsNiVGLi1GIzYlLUY7NiRRIzI4RidGPkZARj5GQ0ZARj5GPkZARj5GX29GQEY+Rj5GQEY+

Ly1JKEJlc3NlbEpHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCwmSSJuR0YoIiIiRiwhIiJJInpHRigsJiooRitGLEYuRi0tRiQ2JEYrRi5GLEYsLUklRGlmZkdGJTYkRjFGLkYs

Finalmente, substituindo para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYmLUYvNiVRIm5GJ0YyRjUtSSNtb0dGJDYtUSgmbWludXM7RicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZFLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRlQtSSNtbkdGJDYkUSIxRidGQUZBLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGQQ== temos

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

LCYqLEkiY0c2IiIiIiwmKiQpJkkjbXVHRiU2I0kiakdGJSIiI0YmRiYqJCkmRis2I0kia0dGJUYuRiYhIiJGNEYxRiYtSShCZXNzZWxKRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiRJIm5HRiUqJkYqRiZGJEYmRiYtSSVldmFsR0Y4NiQtSSVEaWZmR0Y3NiQtRjY2JEY7SSJ6R0YlRkU8Iy9GRSomRjFGJkYkRiZGJkYmKixGJEYmRidGNEYqRiYtRjY2JEY7RkhGJi1GPjYkRkA8Iy9GRUY8RiZGNA==

do qual \303\251 evidente que as fun\303\247\303\265es LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUYvNiVRIm5GJ0YyRjUvRjZRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiQtRiM2JS1JKG1zdWJzdXBHRiQ2KC1GLzYlUScmIzk1NjtGJy9GM1EmZmFsc2VGJ0Y9LUYjNiQtRi82JVEia0YnRjJGNUY9LUYjNiQtRkM2JEY4Rj1GPS8lMXN1cGVyc2NyaXB0c2hpZnRHRkFGPy9JK21zZW1hbnRpY3NHRiRRLFtub25lLG5vbmVdRictRi82JVEickYnRjJGNUY9Rj1GPQ== s\303\243o ortogonais, mesmo quando LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYmLUYjNiUtSShtc3Vic3VwR0YkNigtSSNtaUdGJDYlUScmIzk1NjtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUYjNiQtRjQ2JVEia0YnL0Y4USV0cnVlRicvRjtRJ2l0YWxpY0YnRjotRiM2JC1GLDYkLUYjNiQtRjQ2JVEibkYnRkJGREY6RjpGOi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRicvJS9zdWJzY3JpcHRzaGlmdEdGUS9JK21zZW1hbnRpY3NHRiRRLFtub25lLG5vbmVdRictRjQ2JVEiY0YnRkJGREY6RjovJSVvcGVuR1EifGZyRicvJSZjbG9zZUdRInxockYnRjo= s\303\243o zeros de 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

J\303\241 que 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mas 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\303\243o 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 \303\251 um autovalor e a indexa\303\247\303\243o come\303\247a em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzAuRidGOUY5 A autofun\303\247\303\243o correspondente \303\251 1.

O Maple computa 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a partir da f\303\263rmula

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

Ly1JJURpZmZHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JKEJlc3NlbEpHRiU2JEkibkdGKEkieEdGKEYuLCYtRis2JCwmRi0iIiJGM0YzRi4hIiIqKEYtRjNGLkY0RipGM0Yz

Consequentemente, um erro divis\303\243o-por-zero ocorre em, por exemplo

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

Error, (in VectorCalculus:-eval) numeric exception: division by zero

Entretanto, uma examina\303\247\303\243o das expans\303\265es da s\303\251rie para 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mostra que esse erro \303\251 esp\303\272rio. De fato, temos

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

KytJInhHNiIjIiIiIiIjIiIhIyEiJCIjO0YnIyIiJiIkJVEiIiUtSSJPRyUqcHJvdGVjdGVkRzYjRiZGLQ==

KylJInhHNiIjIiIiIiIlRiYjISIiIiNDIiIkLUkiT0clKnByb3RlY3RlZEc2I0YmIiIm

KylJInhHNiIjIiIiIiM7IiIjIyEiJiIkbygiIiUtSSJPRyUqcHJvdGVjdGVkRzYjRiYiIiY=

KydJInhHNiIjIiIiIiMnKiIiJC1JIk9HJSpwcm90ZWN0ZWRHNiNGJiIiJg==

KydJInhHNiIjIiIiIiRvKCIiJS1JIk9HJSpwcm90ZWN0ZWRHNiNGJiIiJg==

Cada uma dessas fun\303\247\303\265es pode ser prontamente avaliada em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=. Surpreendentemente, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJ211bmRlckdGJDYlLUkjbW9HRiQ2LVEoJnByaW1lO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQC8lKXN0cmV0Y2h5R0ZALyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSwwLjExMTExMTFlbUYnLyUncnNwYWNlR1EmMC4wZW1GJy1GIzYkLUYsNiVRIm5GJ0YvRjJGPC8lLGFjY2VudHVuZGVyR0ZALUkobWZlbmNlZEdGJDYkLUYjNiQtSSNtbkdGJDYkUSIwRidGPEY8RjwtRjk2LVEiPUYnRjxGPkZBRkNGRUZHRklGSy9GTlEsMC4yNzc3Nzc4ZW1GJy9GUUZhb0ZpbkY8 para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RLyZHcmVhdGVyRXF1YWw7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSIyRidGOS1GNjYtUSIsRidGOUY7L0Y/RjFGQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZOUSwwLjMzMzMzMzNlbUYnRjk=mas 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. Por isso, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= nem mesmo \303\251 um canditato para ser um autovalor quando LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjFGJ0Y5Rjk=, e para grandes valores de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, embora LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= \303\251 um zero, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUYvNiVRIm5GJ0YyRjUvRjZRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiQtRiM2JC1JI21uR0YkNiRGQUY9Rj1GPS1JI21vR0YkNi1RIj1GJ0Y9LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZQLyUpc3RyZXRjaHlHRlAvJSpzeW1tZXRyaWNHRlAvJShsYXJnZW9wR0ZQLyUubW92YWJsZWxpbWl0c0dGUC8lJ2FjY2VudEdGUC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRmluRkdGPQ== de modo que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= n\303\243o poderia ser um autovalor. Consequentemente, para a condi\303\247\303\243o homog\303\252nea de Neumann, zero \303\251 um autovalor somente para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=.

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