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<Text-field style="Text" background="[0,0,0]" layout="Normal"><Font background="[0,0,0]" encoding="UTF-8">Uma constante de separa\303\247\303\243o de Bernoulli \303\251 uma constante introduzida como um valor comum de fun\303\247\303\265es iguais de diferentes vari\303\241veis independentes, que surgem da separa\303\247\303\243o de vari\303\241veis de uma equa\303\247\303\243o diferencial parcial linear. Para uma tal equa\303\247\303\243o, a vari\303\241vel dependente \303\251 expressa como um produto de fun\303\247\303\265es separ\303\241veis de vari\303\241veis independentes. Ap\303\263s substitui\303\247\303\243o na equa\303\247\303\243o diferencial e divis\303\243o pela vari\303\241vel dependente, se torna poss\303\255vel igualar uma fun\303\247\303\243o de uma vari\303\241vel independente com uma ou mais fun\303\247\303\265es de outras vari\303\241veis independentes. Isto s\303\263 pode ser ser verdade se ambos os lados da equa\303\247\303\243o resultante s\303\243o identicamente constantes, sendo essa constante a constante de separa\303\247\303\243o de Bernoulli.</Font></Text-field>
<Text-field style="Text" background="[0,0,0]" layout="Normal"><Font background="[0,0,0]" encoding="UTF-8">Por exemplo, para separar vari\303\241veis em uma equa\303\247\303\243o de onda </Font><Font background="[0,0,0]">unidimensional </Font><Equation executable="false" style="2D Math" input-equation="" 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background="[0,0,0]" encoding="UTF-8">, substitua na equ\303\247\303\243o de onda, divida por </Font><Equation executable="false" style="2D Math" input-equation="" 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background="[0,0,0]">, e obtenha</Font></Text-field>
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<Text-field style="Text" background="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font background="[0,0,0]">Como </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==</Equation><Font background="[0,0,0]"> e </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==</Equation><Font background="[0,0,0]" encoding="UTF-8"> s\303\243o independentes, a  \303\272nica maneira de ter uma fun\303\247\303\243o de  </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==</Equation><Font background="[0,0,0]" encoding="UTF-8"> (na esquerda) igual a uma fun\303\247\303\243o de  </Font><Equation 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background="[0,0,0]" encoding="UTF-8">, e escreva duas equa\303\247\303\265es diferenciais ordin\303\241rias </Font><Equation executable="false" style="2D Math" input-equation="" 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