Consider the following nonhomogeneous system. 4 X' = -5 + 9 Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) K, = K2 = Find the general solution of the given system. X(t) =

Consider the following nonhomogeneous system. 4 X' = -5 + 9 Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) K, = K2 = Find the general solution of the given system. X(t) =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Consider the following nonhomogeneous system.
1
4
3 X +
-5
X' =
4
9
6.
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.)
K1
=
K2
=
Find the general solution of the given system.
X(t) :

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