Guia_4 - Universidad de la Frontera Facultad de...

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Unformatted text preview: Universidad de la Frontera Facultad de Ingenier´ıa, Ciencias y Administraci´on Departamento de Matem´atica y Estad´ıstica ECUACIONES DIFERENCIALES Profesores : Ang´elica Mansilla - Elena Olivos Ayudante : Juan Pablo Rebolledo Gu´ ıa 4 Sistemas de ecuaciones 1. Use el m´etodo de aniquiladores para resolver los siguientes sistemas: a ) x 00 + y =- 5 x x + y =- x + 4 y b ) x =- x + z y =- y + z z =- x + y c ) x 00- y = t x- y = 2 + 3 y- 3 x d ) x + y 00 = 1 + x- y x + y = 2 + x- y e ) x 00 + y 00 + z 00 = t x- y- z = 1 x 00 + y = e t + y- z- x f ) x + z = e t x + y + z- x = x + 2 y + z = e t 2. Resuelva los siguientes sistemas homog´eneos utilizando valores propios: a ) X = 1- 1 4 1 1 3- 1 2 X b ) X = 1 1 2 X c ) X = 2 4 4- 1- 2- 1- 2 X d ) X =- 1 5- 1 1 X e ) X = 2 1- 4 2 X , X ( ) = 3 2 f ) X = 2 1- 2- 1 2 1 1 1 X , X ( ) = 1 2 3 g ) x =- x + y x ( ) = 2 y = x + 2 y + z y ( ) =- 1 z = 3 y- z z ( ) = h ) x = 3 x- y...
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This note was uploaded on 11/14/2011 for the course ECONOMICS 1291 taught by Professor Sasami during the Spring '11 term at Aarhus Universitet.

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Guia_4 - Universidad de la Frontera Facultad de...

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