Question: [15] Solve the nonlinear plane autonomous system by changing to polar coordinates. Describe the geometric behavior of the solution that satisfies the given initial

[15] Solve the nonlinear plane autonomous system by changing to polar coordinates.

[15] Solve the nonlinear plane autonomous system by changing to polar coordinates. Describe the geometric behavior of the solution that satisfies the given initial conditions(s). x' = x + yx + y y' = y xx + y, X(0) = (1,1).

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