Consider the following system. λ = dt dz dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) K₁ = dx dt K₂ = x+y=Z K3 = = 4y Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) =y-z Find the general solution of the given system. (x(t), y(t), z(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 system.
λ =
dt
dz
dt
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
K₁ =
dx
dt
K₂ =
= x+y=-Z
K3 =
= 4y
Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.)
= y - z
Find the general solution of the given system.
(x(t), y(t), z(t)) =
Transcribed Image Text:Consider the following system. λ = dt dz dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) K₁ = dx dt K₂ = = x+y=-Z K3 = = 4y Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) = y - z Find the general solution of the given system. (x(t), y(t), z(t)) =
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