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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(x2 + y2)2
y' = x − y(x2 + y2)2,   X(0) = (3, 0)

(r(t), θ(t)) =

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