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Solve the given nonlinear plane autonomous system by changing to polar coordinates. x' = [y −...

Solve the given nonlinear plane autonomous system by changing to polar coordinates.

x' = [y − x/sqrt(x^2+y^2)](16 − x2 − y2)

y'= [-x-y/sqrt(x^2+y^2)](16 − x2 − y2)

X(0) = (1, 0)

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