Differential equations. Autonomous systems and stability Prove that for: x´ = a11x + a12y y´ = a21x + a22y with a11 + a22 = 1, it has
Differential equations. Autonomous systems and stability Prove that for: x´ = a11x + a12y y´ = a21x + a22y with a11 + a22 = 1, it has
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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Differential equations. Autonomous systems and stability
Prove that for:
x´ = a11x + a12y
y´ = a21x + a22y
with a11 + a22 = 1, it has no periodic solutions.
Please be as clear as possible, and legible. Show and explein all the steps and use definitions if possible. Thank you
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