Consider the following system. λ = dy dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) = dx dt K₂ = = -9x + 4y Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) K₁ = 5 + 2y Find the general solution of the given system. (x(t), y(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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8.2(b1) #1

Consider the following system.
λ =
dy
dt
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
=
dx
dt
K₂ =
= -9x + 4y
Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.)
K₁
=
5
+ 2y
Find the general solution of the given system.
(x(t), y(t))
Transcribed Image Text:Consider the following system. λ = dy dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) = dx dt K₂ = = -9x + 4y Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) K₁ = 5 + 2y Find the general solution of the given system. (x(t), y(t))
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