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 August 10th, 2011, 12:30 PM #1 Newbie   Joined: Aug 2011 Posts: 1 Thanks: 0 How to solve ODE for independent function Hello, I need to solve numerically an equation of the form v(t) = k1*z(t)*w(t)-k2*i(t)-k3*di(t)/dt The issue is that rungekutta methods are useful for solving di(t)/dt = 1/k3 * [ k1*z(t)*w(t)-k2*i(t)-k3*-v(t) ] but I need to solve for v(t) What I did was: v (t) = k1*z(t)*w(t)-k2*i(t)-k3*[i(t)-i(t-1)]/h But is not a good approximation because the step size h cannot be small enough. I need a more sophisticated method than directly applying the difference quotient as I did. Thanks a lot!

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