Z303 Semana 4 sesión 2.pdf - Ecuaciones Diferenciales...

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Docente: Unidad: Ecuaciones Diferenciales Ecuaciones diferenciales de orden superior
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Ecuaciones diferenciales lineales homogéneas de orden superior con coeficientes constantes
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Logro de la Sesión Al finalizar la sesión de aprendizaje el estudiante resuelve las ecuaciones diferenciales lineales homogéneas de orden superior con coeficientes constantes.
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Contenido general Video Imagen docente Ecuaciones diferenciales lineales homogéneas de Orden Superior con coeficientes constantes. Ecuación característica o auxiliar.
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Ecuaciones Homogéneas 𝒂 ? (?)𝐲 𝐧 + 𝒂 ?−? (?)? ?−? + ⋯ + 𝒂 ? (?)? + 𝒂 ? (?)? = ? Una ED de la forma Se dice que es una ED homogénea de orden n. Antes de brindar la solución general de la ED homogénea hablaremos de algunos conceptos muy importantes para el estudio de ED lineales.
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Wronskiano Sean 𝒇 ? ? , 𝒇 ? ? , … , 𝒇 ? ? funciones con al menos ? − ? derivadas. El determinante Se denomina el Wronskiano de las funciones. ) 1 ( ) 1 ( 2 ) 1 ( 1 2 1 2 1 ' ' ' n n n n n n f f f f f f f f f W
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Soluciones linealmente independientes Sean ?
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  • Spring '18
  • Carlos Rojas
  • Ecuación, Ecuación diferencial, Coeficientes, Diferenciales Unidad, ED lineales

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