eigenvalues and the eigenvectors
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:9. Consider the linear system
dY
(a
Y
%3D
dt
0 d,
(a) Find the eigenvalues and the eigenvectors corresponding to the eigenvalues.
(b) Suppose a = d < 0. Sketch the phase portrait and compute the general solution.
(c) Suppose a = d > 0. Sketch the phase portrait and compute the general solution.
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