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EDO 2º orden: Salta y resuelve

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EDO 2º orden: Salta y resuelve

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Quiz rápido de EDOs lineales homogéneas

Created by

Dave Amet Ladines Guerrero
Dave Amet Ladines Guerrero
Ecuador

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EDO 2º orden: Salta y resuelve
 

EDO 2º orden: Salta y resuelveOnline version

Quiz rápido de EDOs lineales homogéneas

by Dave Amet Ladines Guerrero
1

Cuál es la solución general de la EDO 3y'' - y' = 0?

2

Para 2y'' +5y' =0, ¿cuál es la solución general?

3

La EDO y'' - 16y = 0 tiene como solución general:

4

Para y'' - 8y = 0, la solución general es:

5

La EDO y'' + 9y = 0 tiene como solución general:

6

La ecuación 3y'' - y' = 0 se puede escribir como:

7

La solución general de 2y'' +5y' = 0 se puede interpretar como:

8

Para la EDO y'' -16y = 0, ¿qué expresión describe la solución general?

9

En y'' + 9y = 0, ¿cuál no es una forma de la solución?

Explicación

La ecuación da una suma de una constante y una expo lineal; recuerda dividir el coeficiente correcto en el exponente.

La raíz característica es r(r) + (5/2)r? El resultado correcto es una constante más expo negativa.

Las raíces de r^2 -16 =0 son ±4; la solución es suma de exponentiales.

Coeficiente característico r^2 -8 = 0 da ±2√2.

Es un caso armónico simple; las soluciones son sen y cos con frecuencia 3.

Reorganizar la EDO lleva a expo lineal con exponente 1/3.

La solución consta de C1 y una expo negativa; no hay término seno/cos en este caso.

Raíces r = ±4; la solución es suma de expo.

La solución hiperbólica no corresponde a este caso homogéneo armónico.

 
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