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y' = (2+x)(5 + y) 1. Find all three critical points. 2. Linearize the system about each critical point. 3. Classify each critical point by discussing the zeros of the corresponding characteristic equation. You don't have to solve the characteristic equation.

y' = (2+x)(5 + y) 1. Find all three critical points. 2. Linearize the system about each critical point. 3. Classify each critical point by discussing the zeros of the corresponding characteristic equation. You don't have to solve the characteristic equation.

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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Given the system of nonlinear differential equations
x = (x−y)(x + y) y' = (2+x)(5 + y) 1. Find all three critical points. 2. Linearize the system about each critical point. 3. Classify each critical point by discussing the zeros of the corresponding characteristic equation. You don't have to solve the characteristic equation.
Transcribed Image Text:x = (x−y)(x + y) y' = (2+x)(5 + y) 1. Find all three critical points. 2. Linearize the system about each critical point. 3. Classify each critical point by discussing the zeros of the corresponding characteristic equation. You don't have to solve the characteristic equation.
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