Posted by jonathan burros on September 11, 2002 at 12:38:41:
In Reply to: proving DE not separable (partials technique???) posted by Colin on September 11, 2002 at 11:18:06:
: A while back (see 8/8 posting) Subhotosh made a statement about a partials technique used to prove the unseparability of a DE. Can anyone explain this?
: I have a problem:
: dy/dx = (y - 4x)/(x - y)
: I need to prove it is not separable. How can I do it formally? It is pretty clear if I try it, but I don't know if that is a sufficient "proof" to show a couple failed attempts...
: Colin