Find and classify the equilibrium points of the following equations: = (9+ x − 3y)x ý = (-8+ 4x − y)y Discuss the stability of each equilibrium point.
Find and classify the equilibrium points of the following equations: = (9+ x − 3y)x ý = (-8+ 4x − y)y Discuss the stability of each equilibrium point.
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
Transcribed Image Text:8. Find and classify the equilibrium points of the following equations:
(9 + x − 3y)x
(-8 + 4x - y)y
Discuss the stability of each equilibrium point.
8
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Step 1: Introducing the system of differential equation
VIEWStep 2: Calculating equilibrium points
VIEWStep 3: Calculating Jacobian matrix
VIEWStep 4: Classification and stability of (0,0)
VIEWStep 5: Classification and stability of (0,-8)
VIEWStep 6: Classification and stability of (-9,0)
VIEWStep 7: Classification and stability of (3,4)
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