In each of 1 through 4, construct a suitable Liapunov

Chapter 9, Problem 2

(choose chapter or problem)

In each of 1 through 4, construct a suitable Liapunov function of the form ax2 + cy2, where a and c are to be determined. Then show that the critical point at the origin is of the indicated type.dx/dt = 12 x3 + 2xy2, dy/dt = y3; asymptotically stable

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