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Given the following system: $$\begin{align} u''_1(t)+u_1(t)+\frac{1}{3}u_2(t)&=0, \\ u''_2(t)-0.5u_1(t)+0.5u_2(t)&=2\sin(1.5t) \end{align}$$ with the initial conditions $u_1(0)=u_2(0)=0$ and $u_1'(0)=u_2'(0)=0$, determine the response at $t=5$ using 4th-order Runge-Kutta equation with step size $h=0.01$.

How do I set up the recursion equation for this?

Lutz Lehmann
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james25
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  • You write each as a system of first order equations and then follow http://math.stackexchange.com/questions/146823/solving-coupled-2nd-order-odes-with-runge-kutta-4. – Moo Dec 08 '15 at 13:03
  • Did you also mean for the second equation to equal zero? – Moo Dec 08 '15 at 14:11

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