I have the following ODE:
$ \frac{dy}{dz} + \frac{y(x+y)}{(y-x)(2x+2y+z)} = 0$
where z is a function of x and y, i.e. $z(x,y)$.
For an example in two variables, I used integrating factor but I can't seem to separate this enough to do that. Do I need to simplify the expression, or use some substitution?
Any suggestions appreciated.