Consider the following nonhomogeneous system. dx dy - 5x + 9y + 5, dt = -x+ 11y + 15 dt 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. If there is only one repeated eigenvalue, enter the eigenvector in each answer blank.) K - (2.1) K2 Find the general solution of the given system. Ge(31) +c,M(2+3/1+1) +(-) X(t) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following nonhomogeneous system.
dx
= 5x + 9y + 5,
dt
dy
= -x + 11y + 15
dt
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
A = 8
Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue. If there is only one repeated eigenvalue, enter the eigenvector in each answer blank.)
K, =
(2,1)
K, =
Find the general solution of the given system.
x() - cge (31) + cge(2+3/1+ 1) + (-)
5
X(t) =
4.
4.
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Transcribed Image Text:Consider the following nonhomogeneous system. dx = 5x + 9y + 5, dt dy = -x + 11y + 15 dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) A = 8 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue. If there is only one repeated eigenvalue, enter the eigenvector in each answer blank.) K, = (2,1) K, = Find the general solution of the given system. x() - cge (31) + cge(2+3/1+ 1) + (-) 5 X(t) = 4. 4. Need Help? Read It Watch It
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