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<Text-field style="Heading 1" layout="Normal"><Font encoding="UTF-8">qua\303\247\303\243o diferencial,</Font></Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">n.</Font><Font encoding="UTF-8"> uma equa\303\247\303\243o contendo </Font><Hyperlink linktarget="Dictionary:Definition/derivative" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">derivadas</Font></Hyperlink> ou <Hyperlink linktarget="Dictionary:Definition/differential" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">diferenciais</Font></Hyperlink><Font encoding="UTF-8"> de uma fun\303\247\303\243o. Uma  <Font italic="true">equa\303\247\303\243o diferencial parcial</Font> (EDP) cont\303\251m </Font><Hyperlink linktarget="Dictionary:Definition/partialderivative" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">derivadas parciais</Font></Hyperlink><Font encoding="UTF-8"> de uma fun\303\247\303\243o de mais de uma vari\303\241vel; de outra forma a equa\303\247\303\243o \303\251 uma <Font italic="true">equa\303\247\303\243o diferencial ordin\303\241ria </Font>(EDO). Equa\303\247\303\265es diferenciais parciais de </Font><Hyperlink linktarget="Dictionary:Definition/first-order" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">primeira ordem</Font></Hyperlink><Font encoding="UTF-8"> s\303\243o redut\303\255veis a sistemas de EDOs. Equa\303\247\303\265es diferenciais de primeira ordem prontamente sol\303\272veis de primeiro </Font><Hyperlink linktarget="Dictionary:Definition/degree" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">grau</Font></Hyperlink> incluem <Hyperlink linktarget="Dictionary:Definition/exact" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">exata</Font></Hyperlink>, <Hyperlink linktarget="Dictionary:Definition/separable" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">descart\303\241veis</Font></Hyperlink>, <Hyperlink linktarget="Dictionary:Definition/homogeneous" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">homog\303\252neas</Font></Hyperlink>, e <Hyperlink linktarget="Dictionary:Definition/lineardifferentialequation" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">equa\303\247\303\265es diferenciais lineares</Font></Hyperlink><Font encoding="UTF-8">. Equa\303\247\303\265es diferenciais de primeira ordem prontamente sol\303\272veis de graus mais altos s\303\243o aquelas </Font><Hyperlink linktarget="Dictionary:Definition/algebraicallysoluble" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">algebricamente sol\303\272veis</Font></Hyperlink><Font encoding="UTF-8"> na primeira derivada ou em outra vari\303\241vel, e na  </Font><Hyperlink linktarget="Dictionary:Definition/Clairautsform" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">forma de Clairaut</Font></Hyperlink><Font encoding="UTF-8">. Equa\303\247\303\265es diferenciais de segunda ordem s\303\243o fundamentais \303\240 F\303\255sica e incluem as </Font><Hyperlink linktarget="Dictionary:Definition/waveequation" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">equa\303\247\303\265es de onda</Font></Hyperlink>, as <Hyperlink linktarget="Dictionary:Definition/heatequation" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">equa\303\247\303\265es do calor</Font></Hyperlink>, e as  <Hyperlink linktarget="Dictionary:Definition/Laplacesequation" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">equa\303\247\303\265es de Laplace</Font></Hyperlink><Font encoding="UTF-8">. A equa\303\247\303\243o </Font><Font italic="true">quasi-linear</Font><Font encoding="UTF-8"> de segunda ordem geral \303\251 </Font></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="">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</Equation>, 
onde <Font italic="true">A, B</Font>, e <Font italic="true">C</Font><Font encoding="UTF-8"> podem tamb\303\251m ser fun\303\247\303\265es de  </Font><Font italic="true">u</Font>, <Font italic="true">u<Font subscript="true">x</Font></Font>, ou <Font italic="true">u<Font subscript="true">y</Font></Font><Font encoding="UTF-8">; isto \303\251 <Font italic="true">hiperb\303\263lico</Font></Font>, <Font encoding="UTF-8" italic="true">parab\303\263lico</Font>, ou <Font encoding="UTF-8" italic="true">el\303\255ptico</Font> dependendo se <Font italic="true">B</Font><Font superscript="true">2</Font><Font encoding="UTF-8">- AC  \303\251 negativo, zero, ou positivo. As defini\303\247\303\265es podem ser estendidas a fun\303\247\303\265es de mais vari\303\241veis, mas s\303\243o de complexidade crescente. Existem m\303\251todos para achar </Font><Hyperlink linktarget="Dictionary:Definition/completesolution" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">solu\303\247\303\265es completas</Font></Hyperlink> de <Hyperlink linktarget="Dictionary:Definition/partialdifferentialequation" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">equa\303\247\303\265es diferenciais parciais</Font></Hyperlink><Font encoding="UTF-8"> n\303\243o-lineares de primeira ordem se a equa\303\247\303\243o cont\303\251m explicitamente ou nenhuma vari\303\241vel dependente ou nenhuma vari\303\241vel independente, ou se ela possui a forma </Font></Text-field>
<Text-field style="2D Math" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="">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</Equation></Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">para fun\303\247\303\265es  </Font><Font italic="true">f</Font>  e  <Font italic="true">g</Font>,  ou possui a <Hyperlink linktarget="Dictionary:Definition/Clairautsform" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">forma de Clairaut</Font></Hyperlink>. Veja <Hyperlink linktarget="Dictionary:Definition/Charpitsmethod" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">m\303\251todo de Charpit</Font></Hyperlink>, <Hyperlink linktarget="Dictionary:Definition/Jacobismethod" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">m\303\251todo de Jacobi</Font></Hyperlink><Font encoding="UTF-8">. Veja tamb\303\251m </Font><Hyperlink linktarget="Help:DEtools" hyperlink="true"><Font style="Hyperlink" family="Times New Roman">DEtools</Font></Hyperlink>, <Hyperlink linktarget="Dictionary:Definition/Lagrangeslinearequation" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">equa\303\247\303\265es lineares de Lagrange</Font></Hyperlink>.</Text-field>
</Worksheet>