Sketch several solution curves in the phase plane of the system of using the given eigenvalues and eigenvectors of A. [3] [1]

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 10E
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Sketch several solution curves in the phase plane of the system of differential equations dx/dt = Ax
using the given eigenvalues and eigenvectors of A.
A₁ = 2, A₂ = -2;
*-8 »-8
V₁ =
=
Transcribed Image Text:Sketch several solution curves in the phase plane of the system of differential equations dx/dt = Ax using the given eigenvalues and eigenvectors of A. A₁ = 2, A₂ = -2; *-8 »-8 V₁ = =
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