I've got this system of differential equations $$\begin{cases} x''=f(t,x,x',y,y')\\ y''=g(t,x,x',y,y') \end{cases}$$
Where $f$ and $g$ are given and known functions and $x=x(t), y=y(t)$
Is there any algorithm or method to bring this system to canonical(normal) form?