5. Consider the system of differential equations dx 3r – 2y %3D dt dy 2x + 3y dt a. Find the general real solution to the system by finding the eigenvalues and eigenvectors. / b. Sketch the phase portrait./

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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only part B please

5. Consider the system of differential equations
dx
3r – 2y
%3D
dt
dy
2x + 3y
dt
a. Find the general real solution to the system by finding the eigenvalues and
eigenvectors. /
b. Sketch the phase portrait.
c. Classify the system by stating whether the origin is a stable or unstable node,
stable or unstable spiral, stable center, or saddle point. /
Transcribed Image Text:5. Consider the system of differential equations dx 3r – 2y %3D dt dy 2x + 3y dt a. Find the general real solution to the system by finding the eigenvalues and eigenvectors. / b. Sketch the phase portrait. c. Classify the system by stating whether the origin is a stable or unstable node, stable or unstable spiral, stable center, or saddle point. /
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