Solved: In 1–4, the given differential equation is model
Chapter 5, Problem 2E(choose chapter or problem)
In Problems 1–4 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.
\(\begin{array}{l}\frac{d^{2} x}{d t^{2}}+4 x-16 x^{3}=0 \\
x(0)=1, x^{\prime}(0)=1 ; \quad x(0)=-2, x^{\prime}(0)=2\end{array}\)
Text Transcription:
\fracd^2xdt^2+4x-16x^3=0\\x(0)=1,x^prime(0)=1;x(0)=-2,x^prime(0)=2
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