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7. [-/1 Points] DETAILS Solve the given nonlinear plane autonomous system by changing to polar coordinates. x' = y - y' = -x - X(0) = (1, 0) (r(t), 0(t)) = X (r(t), 0(t)) = ZILLDIFFEQ9 10.1.026. x² + y² y (16x² - y²) (16 - x² - y²), Describe the geometric behavior of the solution that satisfies the given initial condition. O The solution approaches the origin on the ray 0 = 0 as t increases. O The solution spirals toward the circle r = 4 as t increases. O The solution traces the circle r = 4 in the clockwise direction as t increases. Read It (solution of initial value problem) O The solution spirals away from the origin with increasing magnitude as t increases. O The solution spirals toward the origin as t increases. X(0) = (4,0) (solution of initial value problem) Describe the geometric behavior of the solution that satisfies the given initial condition. O The solution approaches the origin on the ray 0 = 0 as t increases. O The solution spirals toward the circle r = 4 as t increases. O The solution traces the circle r = 4 in the clockwise direction as t increases. O The solution spirals away from the origin with increasing magnitude as t increases. O The solution spirals toward the origin as t increases. Need Help?