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For the nonlinear system in Exercise 3, determine the type

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QUESTION:

For the nonlinear system in Exercise 3, determine the type (sink, source, . . . ) of the equilibrium point at the origin.

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QUESTION:

For the nonlinear system in Exercise 3, determine the type (sink, source, . . . ) of the equilibrium point at the origin.

ANSWER:

Step 1 of 2

Consider the differential equation as:

                                           

The equilibrium point is (0, 0).

Then, the matrix is:

                                           

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