ECUACIONES DIFERENCIALES DE PRIMER ORDEN

CAP 2 ECUACIONES DIFERENCIALES DE PRIMER ORDEN

2.2 VARIABLES SEPARABLES

Ejemplo

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Ejemplo. Resolver la ED

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2.2  SEPARACION DE VARIABLES

Resuelva la ED dada

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DSFP  (FRACCIONES PARCIALES)

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Volviendo a nuestro problema

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Multiplicando por 2

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2.3 ECUACIONES DIFERENCIALES LINEALES

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Ejemplo

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Cuya solución es de la forma [pic 103]

Donde [pic 104]

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Ahora resolvamos la siguiente ED por separación de variables

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Ahora resolvamos la ED Homogénea asociada

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Ejemplo

[pic 126]Primero en la forma estándar

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Ejemplo

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PROCEDIMIENTO

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Integrando

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Finalmente despejamos [pic 152]

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Ejemplo

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Ejemplo

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Resuelva la ecuación diferencial dada

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Solución

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Solución.

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Solución

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Ahora la variable independiente es [pic 221]

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Solución

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Solución

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La solución es

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