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Re: Integration by substitution.
Posted:
Dec 15, 2012 4:10 AM


I'm sorry, I try to better explain my point. Let's suppose this is a ODEs I want to solve. http://www.mathworks.it/help/matlab/ref/eqn1311792846.png
y' are derivatives w.r.t the time. I could use a RungeKutta method to solve them from t0 a the final time (please, see http://www.mathworks.it/it/help/matlab/ref/ode45.html). Well done.
Now let's suppose I would integrate my problem in auxiliary variable, let' say E. It is only theoretically. (e.g. E = t^2 or E = sin(t),...). I am able to expres t0 e in tf in terms of E. How can I solve my ODE now? It is sufficient to multiply y' with dt/dE and use my Runge Kutta?
Thanks for your support



