Posted by Colin on August 09, 2002 at 02:12:31:
In Reply to: If you read the text book carefully.... posted by Subhotosh Khan on August 08, 2002 at 07:54:02:
: : The question starts by asking us to "prove that the equation: dy/dx = (y-4x)/(x-y) is not separable..."
: : How does one provide such a proof, which is definitive (conclusive)? I'm not sure how to phrase and approach such a proof. Any tips? Thank you,
: : Colin
: ********************************************
: You will find there is a necessary condition for "separable-variable" first order differential equations.
: Read it and thou shall learn....
So is it that you must be able to isolate variables of each type on opposite sides of the equals sign?