Thanks for the input! However, what if y and y' cannot be isolated? Is there any general way to get rid of one of them by implicitly deriving or something? I'm afraid that this substitution technique is very problem-dependent.
The motivation is that I have a numerical method based on spline...
Hi,
it is well known that a second order ODe can be transformed into a system of two ODEs through the transformation u=y', v= y.
Is the other way round possible? I mean, I have a system of 2 ODEs and want to transform it into a sucession on higher order problems that can be solved one after...