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ZILLDIFFEQMODAP11 5.3.004.
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The given differential equation is a model of an undamped spring/mass system in which the restoring force $F(x)$ in $m \frac{d^2x}{dt^2} + F(x) = 0$ is nonlinear. For the equation, use a
numerical solver to plot the solution curves that satisfy the given initial conditions.
$\frac{d^2x}{dt^2} + xe^{0.01x} = 0$,
x(0) = 1, x'(0) = 1; x(0) = 3, x'(0) = -1
If the solutions appear to be periodic, use the solution curve to estimate the period $T$ of oscillations. (If the solution curve is not periodic, enter NOT.)
period for x(0) = 1, x'(0) = 1
15
period for x(0) = 3, x'(0) = -1
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