Consider the non-linear autonomous system dr -(r – y)(1 – x – y) dt dy r(y +2). dt Find all equilibria. • Identify all equilibria on the phase plane. • Draw a couple of arrows in the phase plane near the equilibrium with a highest y component.
Consider the non-linear autonomous system dr -(r – y)(1 – x – y) dt dy r(y +2). dt Find all equilibria. • Identify all equilibria on the phase plane. • Draw a couple of arrows in the phase plane near the equilibrium with a highest y component.
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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Question
![Consider the non-linear autonomous system
dr
-(r – y)(1 – x – y)
dt
%3D
dy
r(y+ 2).
dt
• Find all equilibria.
• Identify all equilibria on the phase plane.
• Draw a couple of arrows in the phase plane near the equilibrium with a highest y
component.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb738ee4b-0d92-438d-b96f-d8d02fb325c0%2F59f15f1d-c304-4686-83b5-a22378132994%2Fn1m80ub_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the non-linear autonomous system
dr
-(r – y)(1 – x – y)
dt
%3D
dy
r(y+ 2).
dt
• Find all equilibria.
• Identify all equilibria on the phase plane.
• Draw a couple of arrows in the phase plane near the equilibrium with a highest y
component.
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