10. Consider the system of differential equations dr 2y dt dy = -2r dt which has eigenvalues X= ±2i Sketch the phase portrait and classify the system by stating whether the origin is a stable or unstable node, stable or unstable spiral, stable center, or saddle point. / 11.Consider the system of differential equations

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 65E
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10. Consider the system of differential equations
2y
dt
dy
= -2r
dt
which has eigenvalues
入=+2i
Sketch the phase portrait and classify the system by stating whether the origin is a
stable or unstable node, stable or unstable spiral, stable center, or saddle point. /
11. Consider the system of differential equations
OHEN
Transcribed Image Text:10. Consider the system of differential equations 2y dt dy = -2r dt which has eigenvalues 入=+2i Sketch the phase portrait and classify the system by stating whether the origin is a stable or unstable node, stable or unstable spiral, stable center, or saddle point. / 11. Consider the system of differential equations OHEN
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