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Investigate the type of critical point (0,0) of the given linear system. dx/dt = -6x+13y+x^3 dy/dt = -x-2y+y^4

Investigate the type of critical point (0,0) of the given linear system. dx/dt = -6x+13y+x^3 dy/dt = -x-2y+y^4

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12RE
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Investigate the type of critical point (0,0) of the given linear system.

dx/dt = -6x+13y+x^3

dy/dt = -x-2y+y^4

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