Solve the given nonlinear plane autonomous system by changing to polar coordinates. (49 - x² - y²) (49 - x² - y²), x' =
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Solve the given nonlinear plane autonomous system by changing to polar coordinates. (49 - x² - y²) (49 - x² - y²), x' =
Solve the given nonlinear plane autonomous system by changing to polar coordinates. (49 - x² - y²) (49 - x² - y²), x' = y - y' = -x - X(0) = (1, 0) 7(1- e¹4t 2 (r(t), 8(t)): X + e¹4t 2 +1 3 - t X (solution of initial value problem)