# Unsolvable ODEs in physics

1. Mar 26, 2013

### dipole

Hi, I'm trying to come up with some examples of ODEs (not PDES) in physics that are unsolvable analytically, and for some reason I'm drawing a blank.

There are a few obvious examples from classical mechanics such as a pendulum and coupled springs etc... but beyond that I can't seem to recall coming across any.

Can anyone think of some ODEs that describe interesting physics and whose derivation can be understood without too much background knowledge?

2. Mar 26, 2013

### SteamKing

Staff Emeritus