Ecuaciones diferenciales.

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- [pic 93]

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Sea

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- Resolver las siguientes ED de Bernoulli.

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Sea

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- [pic 126]

Sea:

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- [pic 134]

Sea:

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Sea:

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- [pic 161]

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Sea:

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- [pic 172]

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PROBLEMAS

Aplicaciones de las Ecuaciones Diferenciales

- La tasa de disminución del elemento Radio es proporcional a la cantidad que queda de él. Pruebe que la cantidad C de radio presente en el momento t está dada por [pic 191].

[pic 192]

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- Según la ley de enfriamiento de Newton, la velocidad a que se enfría una sustancia al aire libre es proporcional a la diferencia entre la temperatura de la sustancia y la del aire. Si, cuando la