# Solving PDE

1. Dec 13, 2004

### ksoy

[SOLVED] Solving PDE

I am just wondering, is there any gerneral method in solving PDE's or just by guess works??

thanks...

2. Dec 13, 2004

### dextercioby

In mathematics there's no room for "guessing".
As for PDE-s,well,mathematicians found a way to classificate them.So far (and more than surely in the future) there has't been found a general method to solving PDE-s,that is to aapply successfully for every kind of PDE.
For example,for nonlinear PDE-s,there is no general method of solving.Analitically,of course.I assume that was the initial question about.
Try to solve (or imagine a way to tackling) somthing like that
$$\frac{u^{3}(x,y,z)}{xy^{\frac{6}{3}}z}[\frac{\partial^{5} u(x,y,z)}{\partial x^{5}}]^{7}+5 u^{8}(x,y,z)-12x^{7}y^{\frac{3}{4}}z=0$$

3. Dec 13, 2004