In problem the given differential equation is a model of a damped nonlinear spring/mass system. Predict the behavior of each system as t → ∞. For each equation use a numerical solver to obtain the solution curves satisfying the given initial conditions.

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d²x, dx + x + x = 0, dt di? x(0) = -3, x'(0) = 4; x(0) = 0, x'(0) = -8