6. [-/1 Points] DETAILS ZILLDIFFEQ9 10.1.024. Solve the given nonlinear plane autonomous system by changing to polar coo
Posted: Mon Jul 11, 2022 10:48 am
6. [-/1 Points] DETAILS ZILLDIFFEQ9 10.1.024. Solve the given nonlinear plane autonomous system by changing to polar coordinates. x' = y + x(x² + y²) y = -x + y(x² + y2), X(0) = (7,0) (r(t), 8(t)) (solution of initial value problem) Describe the geometric behavior of the solution that satisfies the given initial condition. O The solution satisfies rco as t→ 1/98 and is not a spiral. O The solution satisfies r→ 0 as t→ 1/98 and is not a spiral. O The solution satisfies r 0 as to and is a spiral. O The solution satisfies r→ ∞oast → 1/98 and is a spiral. O The solution satisfies r →0 as t1/98 and is a spiral. Need Help? Read It