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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 r→ ∞ 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 t→ ∞ and is a spiral. O The solution satisfies r→ ∞ as t→ 1/98 and is a spiral. O The solution satisfies r→ 0 as t→ 1/98 and is a spiral. Need Help? Read It