9. Consider the linear system dY (a Y dt (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. II

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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9. Consider the linear system
dY
а
Y
dt
(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.
Transcribed Image Text:9. Consider the linear system dY а Y dt (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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