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Matemáticas Avanzadas: Comprobación de Lectura 2

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Matemáticas Avanzadas: Comprobación de Lectura 2

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Temas 3 al 5

Created by

Felipe Rivera Cazares
Felipe Rivera Cazares
Mexico

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Matemáticas Avanzadas: Comprobación de Lectura 2
 

Matemáticas Avanzadas: Comprobación de Lectura 2Online version

Temas 3 al 5

by Felipe Rivera Cazares
1

El método que consiste en calcular las derivadas parciales correspondientes a cada una de las variables se llama

2

Esta forma de expresar una Ecuación Diferencial de Primer Orden se llama:

3

Indica cual es la forma de una ED Homogénea:

4

El Criterio para soluciones linealmente independientes establece lo siguiente: Sea y1,y2,…,yn un conjunto de soluciones de una ED lineal homogénea de orden n. Este conjunto de soluciones es linealmente independiente en un intervalo I si y sólo si

5

Este método consiste en dejar cada una de las variables con su diferencial correspondiente para poder integrarlas por separado y encontrar su solución

6

El criterio para validar que una ED es Exacta es:

7

Indica cuál es la forma de una ED No Homogénea

8

Método que permite reducir una Ecuación Diferencial a la forma Exacta

9

El Factor Integrante es de la forma

10

Según en Teorema de Existencia y Unicidad, dada una ecuación diferencial: y’ = f(x,y) donde f(x,y) que está definida en . Si f(x,y) satisface las 2 condiciones mostradas en la imagen significa:

11

El método de Reducción de Orden se utiliza cuando

12

El método del Factor Integrante se utiliza cuando se tiene una ED como la de la imagen y se cumple la siguiente condición:

13

Una Ecuación Diferencial Homogénea de Orden 2, ¿cuántas soluciones tiene?

 
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