In , the given differential equation is model of an
Chapter 5, Problem 4E(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.
\(\begin{array}{l}\frac{d^{2} x}{d t^{2}}+x e^{0.01 x}=0 \\
x(0)=1, x^{\prime}(0)=1 ; \quad x(0)=3, x^{\prime}(0)=-1\end{array}\)
Text Transcription:
fracd^2x t^2+xe^0.01x=0\\x(0)=1,x^prime(0)=1;x(0)=3,x^prime(0)=-1
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