Question: Solve the given nonlinear plane autonomous system by changing to polar coordinates. X'= .2 (49 - x2 - 12) + V V'=-X - .2 2

Solve the given nonlinear plane autonomous system by changing to polar coordinates. X'= .2 (49 - x2 - 12) + V V'=-X - .2 2 (49 - x2 - 12), + x(0) = (1, 0) 14 7 1- 2 (r(t), e(t)) = I 141 (solution of initial value problem) +1 2 X

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