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where der the system x = Ax, x(0) = [ A = -3 2 2 -3 a. Find the complex eigenvalues and eigenvectors of A b. Sketch the phase portrait and classify the critical point at the origin as a spiral point or center and determine its stability c. Solve the system

where der the system x = Ax, x(0) = [ A = -3 2 2 -3 a. Find the complex eigenvalues and eigenvectors of A b. Sketch the phase portrait and classify the critical point at the origin as a spiral point or center and determine its stability c. Solve the system

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Consider the linear system where 2 [³] * = Ax₂_x(0) = [ x A=[ -3 2 -4 1 a. Find the complex eigenvalues and eigenvectors of A b. Sketch the phase portrait and classify the critical point at the origin as a spiral point or center and determine its stability c. Solve the system.
Transcribed Image Text:1. Consider the linear system where 2 [³] * = Ax₂_x(0) = [ x A=[ -3 2 -4 1 a. Find the complex eigenvalues and eigenvectors of A b. Sketch the phase portrait and classify the critical point at the origin as a spiral point or center and determine its stability c. Solve the system.
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