Find a linearization of the differential equation in Problem 4.

Problem 4.

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 + xe0.01x = 0, dr x(0) = 1, x'(0) = 1; x(0) = 3, x'(0) = -1 %3D