In 1-4, the given differential equation is a model of an undamped spring/mass system in
Chapter 3, Problem 1(choose chapter or problem)
In Problems 1-4, the given differential equation is a 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 satisfying the given initial conditions. If the solutions appear to be periodic, use the solution curve to estimate the period T of oscillations.
\(\frac{d^{2} x}{d t^{2}}+x^{3}=0\), x(0)=1, \(x^{\prime}(0)=1\) ; \(x(0)=\frac{1}{2}\), \(x^{\prime}(0)=-1\)
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