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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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Edit Determine all critical points of the system of equations dx dy = (7+ x)(y – x), dt = (3 – x)(y+x). dt Number of critical points: Threev P = (?,?) X P= (?,?) X P= (?,?) %3D Find the corresponding linear system, J, near each critical point, if possible. does not Uexist does not exist does not J(?, ?) J(?, ?) J(?, ?) exist ? ? ? ? X= %3D ? ? ? ? ? ? Find the eigenvalues of each linear system. NOTE: Enter the exact answers. J(?, ?) has J(?,?) has J(?, ?) has Two v Two v Two▼ eigenvalues. eigenvalues. eigenvalues.
Transcribed Image Text:Edit Determine all critical points of the system of equations dx dy = (7+ x)(y – x), dt = (3 – x)(y+x). dt Number of critical points: Threev P = (?,?) X P= (?,?) X P= (?,?) %3D Find the corresponding linear system, J, near each critical point, if possible. does not Uexist does not exist does not J(?, ?) J(?, ?) J(?, ?) exist ? ? ? ? X= %3D ? ? ? ? ? ? Find the eigenvalues of each linear system. NOTE: Enter the exact answers. J(?, ?) has J(?,?) has J(?, ?) has Two v Two v Two▼ eigenvalues. eigenvalues. eigenvalues.
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