Solve the given nonlinear plane autonomous system by changing to polar coordinates. x' = y x(x + y)2 y' = x - y(x+ y)2, x(0) = (5, 0) (r(t), 8(t)) = (solution of initial value problem) X Describe the geometric behavior of the solution that satisfies the given initial condition(s). The solution spirals away from the origin with increasing magnitude as t increases. The solution traces the circle r = 5 in the clockwise direction as t increases. The solution spirals toward the circle r = 1 as t increases. The solution approaches the origin on the ray = 0 as t increases. The solution spirals toward the origin as t increases.