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I am trying to solve this problem, but am having some trouble.

The ODE $u''=\cfrac{u'}t - 4t^2u$ has the solution $u(t)=\sin(t^2)+\cos(t^2)$.

I want to plot the exact solution over the interval $[1,20]$. Can someone help me figure out this exact solution and how to go about solving it?


share|cite|improve this question
Does it want me to just plot u(t)? – Jackson Hart Nov 9 '12 at 21:34
It depends on what "it" is. You have the exact solution -- plotting it should not be so difficult. – Emily Nov 9 '12 at 22:09
$u(t)=\sin(t^2)+\cos(t^2)$ – user31280 Nov 9 '12 at 23:12

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