Consider the following system: X₁ Find the eigenvalues and eigenvectors of the coefficient matrix A. dt V₁ and X₂ Sketch a phase portrait. Solve the system given initial conditions (0)=1, x₂(0); -3 5 -5 -3 = -2. V₂ Note: When Webwork checks whether eigenvectors and eigenvalues are correct, ALL eigenvalues and eigenvectors are evaluated at once. So individual eigenvectors and eigenvalues won't be marked correct unless all the eigenpairs are correct. I
Consider the following system: X₁ Find the eigenvalues and eigenvectors of the coefficient matrix A. dt V₁ and X₂ Sketch a phase portrait. Solve the system given initial conditions (0)=1, x₂(0); -3 5 -5 -3 = -2. V₂ Note: When Webwork checks whether eigenvectors and eigenvalues are correct, ALL eigenvalues and eigenvectors are evaluated at once. So individual eigenvectors and eigenvalues won't be marked correct unless all the eigenpairs are correct. I
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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Transcribed Image Text:A₁
Find the eigenvalues and eigenvectors of the coefficient matrix A.
+8)
=
x1
x2
Consider the following system:
=
dt
=
and X₂
=
=
-3
5
-5 -3
1
V₂
Note: When Webwork checks whether eigenvectors and eigenvalues are correct, ALL eigenvalues and eigenvectors are evaluated at once. So
individual eigenvectors and eigenvalues won't be marked correct unless all the eigenpairs are correct.
Sketch a phase portrait.
Solve the system given initial conditions ₁ (0)=1, x₂(0) = -2.
I
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