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?

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?

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

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?

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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