x' = -4x - y + x(x² + y²), y = x - 4y + y(x² + y²)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 35E
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3.42 Show that the system
x'
y'
=
=
-4x - y + x(x² + y²),
x - 4y + y(x² + y²)
has a nontrivial periodic solution.
Transcribed Image Text:3.42 Show that the system x' y' = = -4x - y + x(x² + y²), x - 4y + y(x² + y²) has a nontrivial periodic solution.
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