Solved: In each of 1 through 4, verify that (0, 0) is a critical point, show that the

Chapter 9, Problem 1

(choose chapter or problem)

In each of 1 through 4, verify that (0, 0) is a critical point, show that the system islocally linear, and discuss the type and stability of the critical point (0, 0) by examining thecorresponding linear systemdx/dt = x y2, dy/dt = x 2y + x2

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