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?

Q: A system of differential equations has an equilibrium point at the origin with the Jacobian matrix -…

A: Given is the Jacobian matrix  J=-3101

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A: Given matrix is J=1-331 . we will find the nature of eigen value of the matrix J.

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