Hello,

I have what appears at first sight to be a simple system of coupled first order pdes in two unknowns which I need to solve simultaenously:

$ \frac{\partial f(x,y)}{\partial x}=(x+y)*x*f(x,y) \quad;\quad \frac{\partial f(x,y)}{\partial y}=(x+y)*y*f(x,y) $

But there doesnt seem to be a solution that I or mathematica can come up with. Does anyone have a suggestion for a solution. Or conversely a proof that it has no solution?