A system of ordinary differential equations has an equilibrium point at the origin with the Jacobian matrix  J =  [0   1] [-3  0]    what is the classification of the linearised system of equations at this equilibrium point?  - Sink, centre, spiral source or star source?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
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Problem 6CC: (a) How do Gaussian elimination and Gauss-Jordan elimination differ? (b) Use Gauss-Jordan...
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A system of ordinary differential equations has an equilibrium point at the origin with the Jacobian matrix 

J = 

[0   1]
[-3  0] 

 

what is the classification of the linearised system of equations at this equilibrium point? 
- Sink, centre, spiral source or star source? 

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