Side benefit from Runge-Kutta methods for ODE

[Namir]

Has anyone tried to fake an f(x) into an f(x,y) by doing somethin like this:

f(x,y) = g(x) + y - y

where g(x) is the original function of x?

:-)

Namir .... a truly original thinker .... LOL

PS: Maybe I am pulling a Ramanujan on this one. He presumably proved that:

c = 1 + 2 + 3 + 4 + ... + n = -1/12

In his proof, Ramanujan corrupted the equations he was using in calculating (c - 3c) and finagled the corrupted equations into giving -1/12, which of course is very wrong!