Thank you both for your answers :)
BUT
look also that the function in the r.h.s. is not F(x,y) but F(y,x)
For example if
F(x,y)=\frac{x}{x+y}
then
F(y,x)=\frac{y}{x+y}
That's what confuses me.
Hello!
I would like to find some functions F(x,y) which satisfy the following equation
\frac{F(x,y)}{\partial x}=\frac{F(y,x)}{\partial y}
For example this is obviously satisfied for the function
F= exp(x+y)
I would like however to find the most general closed form solution...
Well this book is a very particular one. It really depends on your style.
There are 21 chapters 6 of which are a very basic mathematical introduction in linear algebra, functional analysis, manifolds and so on. I personally like it.
However this book might not be what you expected if you are...