Consider the following system. dx dt dy dt dz dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) = x + y - z = бу = y - z
Consider the following system. dx dt dy dt dz dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) = x + y - z = бу = y - z
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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D15 2 Please Help
![Consider the following system.
dx
dt
dy
dt
dz
dt
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
2 = -1,1-6
K₁
=
X
Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.)
0.5,0,1
K₂ =
K3
=
= x+y-z
1,0,0
= 6y
= y - z
1.2,7,1
X
X
X
Find the general solution of the given system.
(xt), y(t), z(t) = c₁e¹[0.5,0,1] + c₂e¹[1,0,0] + cge[1.2,7,1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e3c56e9-1493-49eb-9dfb-1a00b0427f8a%2F751c6556-721c-4ef2-b12f-f47af4315eab%2F07f02z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following system.
dx
dt
dy
dt
dz
dt
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
2 = -1,1-6
K₁
=
X
Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.)
0.5,0,1
K₂ =
K3
=
= x+y-z
1,0,0
= 6y
= y - z
1.2,7,1
X
X
X
Find the general solution of the given system.
(xt), y(t), z(t) = c₁e¹[0.5,0,1] + c₂e¹[1,0,0] + cge[1.2,7,1]
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