Consider the following system of second-order differential equations: * = -0.7x +0.9y, j = 0.9x +1.7y. -0.7 0.9] 0.9 1.7 The coefficient matrix has eigenvectors and (a) Calculate the eigenvalues that correspond to the given eigenvectors. (b) Hence write down the general solution of the given system of second-order differential equations.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following system of second-order differential equations:
* = -0.7x + 0.9y,
j = 0.9x +1.7y.
-0.7 0.9]
0.9 1.7
The coefficient matrix
has eigenvectors
and
(a) Calculate the eigenvalues that correspond to the given eigenvectors.
(b) Hence write down the general solution of the given system of
second-order differential equations.
English (United Kingdom)
EFocus
目
Transcribed Image Text:Consider the following system of second-order differential equations: * = -0.7x + 0.9y, j = 0.9x +1.7y. -0.7 0.9] 0.9 1.7 The coefficient matrix has eigenvectors and (a) Calculate the eigenvalues that correspond to the given eigenvectors. (b) Hence write down the general solution of the given system of second-order differential equations. English (United Kingdom) EFocus 目
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