(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use the fourth order Runge-Kutta formula to advance the differential equation:

dy/dt = y with y(0)=1 forward one step h. That is find y(h).

2. Relevant equations

3. The attempt at a solution

The Runge-Kutta formula is:

x(i+1)=x(i)+h/6 [k(1)+2k(2)+2k(3)+k(4)]

where,

k(1)=f[x(i),t(i)]

k(2)=f[x(i)+1/2 hk(1), t(i)+1/2 h]

k(3)=f[x(i)+1/2 hk(2), t(i)+1/2h]

k(4)=f[x(i)+hk(3),t(i)+h]

I have no idea how to continue though, so any help would be great! thanks

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# Homework Help: Runge-kutta formula

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