Consider the following nonhomogeneous system. dx = 5x + 9y + 3, dt dy = -x + 11y + 9 dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) 1 =| 8 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenv answer blank.) K1 8. K2 8 %3D Find the general solution of the given system. cz{[3,1]e* [2,1]e8} [ 5 G[3,1]ešt + X(t) = + + - 4
Consider the following nonhomogeneous system. dx = 5x + 9y + 3, dt dy = -x + 11y + 9 dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) 1 =| 8 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenv answer blank.) K1 8. K2 8 %3D Find the general solution of the given system. cz{[3,1]e* [2,1]e8} [ 5 G[3,1]ešt + X(t) = + + - 4
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.
dy
3D —х + 11у + 9
dt
dx
5x + 9y + 3,
dt
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
8.
Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenv
answer blank.)
K1
8
K2
8.
Find the general solution of the given system.
x(1 - ,[3,1]e%* + cz{[3,1 ]e* + [2,1 ]c&} + [
5
5
cq[3,1]e&t
c2{[3,1]te + [2,1]e}
%3D
4'
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08264b53-7820-4862-9c9b-94069c15eb33%2F85c8d4cf-d959-40be-a5cc-dfb097631662%2Fmpq01mt_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following nonhomogeneous system.
dy
3D —х + 11у + 9
dt
dx
5x + 9y + 3,
dt
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
8.
Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenv
answer blank.)
K1
8
K2
8.
Find the general solution of the given system.
x(1 - ,[3,1]e%* + cz{[3,1 ]e* + [2,1 ]c&} + [
5
5
cq[3,1]e&t
c2{[3,1]te + [2,1]e}
%3D
4'
4
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