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Use the given Liapunov function to determine the stability of the origin for each system below. (a) V(x, y) = x2 + y2 with dx

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Use the given Liapunov function to determine the stability of the origin for each system below. (a) V(x, y) = x2 + y2 with dx dy dt =-y-x' - xy =x - y - yx2 dt (b) V (x, y) = x2 + ay, pick a as needed dx dy dt =-x +4y =-X- 13 dt

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