3. Consider the linear system dY (-2 Y dt (a) Determine the type of the equilibrium point at the origin. (b) Find the eigenvalues and eigenvectors and sketch the phase plane.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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3. Consider the linear system
(-2
Y
dY
dt
(a) Determine the type of the equilibrium point at the origin.
(b) Find the eigenvalues and eigenvectors and sketch the phase plane.
Transcribed Image Text:3. Consider the linear system (-2 Y dY dt (a) Determine the type of the equilibrium point at the origin. (b) Find the eigenvalues and eigenvectors and sketch the phase plane.
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