Consider the pair of differential equations dr =1- V. dt dy = r² – y°. dt (a) Find all the equilibrium points of these equations. (b) Classify each equilibrium point of this non-linear system as far as possible by considering the Jacobian matrix.
Consider the pair of differential equations dr =1- V. dt dy = r² – y°. dt (a) Find all the equilibrium points of these equations. (b) Classify each equilibrium point of this non-linear system as far as possible by considering the Jacobian matrix.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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q3
![Consider the pair of differential equations
dr
=1- V.
dt
dy
= r² – y°.
dt
(a) Find all the equilibrium points of these equations.
(b) Classify each equilibrium point of this non-linear system as far as
possible by considering the Jacobian matrix.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fdf0c29-4228-41d5-88b7-4774a7018544%2Fbc6af24d-0b80-4608-b5dc-86fd856b154d%2Fnmd1ylr_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the pair of differential equations
dr
=1- V.
dt
dy
= r² – y°.
dt
(a) Find all the equilibrium points of these equations.
(b) Classify each equilibrium point of this non-linear system as far as
possible by considering the Jacobian matrix.
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