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Ecuaciones separables: verdad o mentira

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Quiz sobre separación de variables

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Colombia

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Ecuaciones separables: verdad o mentira
 

Ecuaciones separables: verdad o mentiraOnline version

Quiz sobre separación de variables

by leidy Johana Suarez Gomez
1

Si g(x) o h(y) es cero en algún punto, el método nunca funciona.

2

Este método solo se aplica a ecuaciones de primer grado lineales.

3

Al integrar ambos lados se obtiene ∫ dy/h(y) = ∫ g(x) dx + C.

4

Cuando h(y0)=0 aparece una solución constante y = y0.

5

Todas las ecuaciones separables se pueden resolver sin necesidad de integración.

6

Se puede escribir la ecuación diferencial en una forma donde las variables se separan como dy/h(y) = g(x) dx.

7

El método requiere g(x) y h(y) continuas en un intervalo y e1n para separar las variables.

8

Una solución puede ser implícita, obtenida tras integrar y luego despejar si es posible.

9

Las ecuaciones separables no pueden tener soluciones implícitas.

10

La separabilidad requiere usar factores integrantes (factores).

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