phase portrait

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Number 9 B please
9. Sketch the phase portrait and classify (by stating whether the origin is a stable or
unstable node, stable or unstable spiral, ștable center, or saddle point) the system of
differential equations given by
di
= AF
dt
where the eigenvalues and corresponding eigenvectors for the 2 x 2 matrix A are
V1 =
a.
for A -3
and 2=
for A2 3
V1 =
b.
for A1 1 and
for A2 = 3
U2 =
10. Consider the system of differential equations
dr
Transcribed Image Text:9. Sketch the phase portrait and classify (by stating whether the origin is a stable or unstable node, stable or unstable spiral, ștable center, or saddle point) the system of differential equations given by di = AF dt where the eigenvalues and corresponding eigenvectors for the 2 x 2 matrix A are V1 = a. for A -3 and 2= for A2 3 V1 = b. for A1 1 and for A2 = 3 U2 = 10. Consider the system of differential equations dr
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