In Problem 3, suppose the mass is released from an initial position x(0) = x₀ with the initial velocity x'(0) = 1. Use a numerical solver to estimate an interval a ≤ x₀ ≤ b for which the motion is oscillatory.

Problem 3

In problem the given differential equation is model of an undamped spring/mass system in which the restoring force F(x) in (1) is nonlinear. For each equation use a numerical solver to plot the solution curves that satisfy the given initial conditions. If the solutions appear to be periodic use the solution curve to estimate the period T of oscillations.

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d?x + 2x – x = 0, dr x(0) = 1, x'(0) = 1; x(0) =x'(0) = -1 %3D