The question .
Differential equations , linear and non linear , of any type or degree .
f(t) = some function , with or without constants .
D(f(t)) = some differential equation involving f(t) , f'(t) and other .
The condition that we want to satisfy is :
D(f(t)) = 0
To do so , at the most basic level , we need to generate a large set of
functions where there's a function
that satisfies :
D(f(t)) = 0
This is what I'm attempting to do with xfractint .
Symbolically we tend to do things like finding an integrating factor ,
finding symmetries via lie
algebras , performing iterated integration like He's Variational Iteration
Method , fractional
integration and a fair few others .
To the best of my knowledge none of these are applicable to the full gamut
of fractals or even
the subset of all non linear differential equations ; which tend to be the
most interesting .
Just wondering if anyone has some suggestions , I continue to have this
feeling that previous
contributors to fractint formulas had some notion as to what might be
involved with this .
