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Hi all,

I am attempting to solve the following coupled, non-linear system of equations:

F:=(x,y)->x*(1-G(x,y)/y*(1-G(x,y)))^2;

G:=(x,y)->y*(1-F(x,y)/y*(1-F(x,y)))^2;

In particular, I want to know under which conditions for x and y it is true that F(x,y) = G(x,y)

Can this be solved as a fixed point DE (to get two equations with two unknowns) ?

My attempts at computing the partials has so far failed:

diff(F(x,y),x);
Error, (in F) too many levels of recursion
 

Any hints would be most welcome!
diff nonlinear

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