Consider the following nonhomogeneous system. X' Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) A- 3,7 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) к, <-1,3> K, - < 1,9 > Find the general solution of the given system. +Ce+ 36 X(t) =

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 nonhomogeneous system.
4
X'
X+
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
- 3,7
Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.)
K, - <-1,3>
K2 - <1,9 >
Find the general solution of the given system.
7t d
+ C,e" +
36
X(t) =
Transcribed Image Text:Consider the following nonhomogeneous system. 4 X' X+ Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) - 3,7 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) K, - <-1,3> K2 - <1,9 > Find the general solution of the given system. 7t d + C,e" + 36 X(t) =
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