Another local extreme problem

I am facing another problem that I can't compute the extremes for:(Doh)

f(xy)=e^{x}(x^{2}-y^{2})

so far I have:

fx= 2xe^{x }+ e^{x}(x^{2}-y^{2})

fy= -2ye^{x }fxx=2e^{x}+2xe^{x} + e^{x}(x^{2}-y^{2}) + 2xe^{x }

fyy= -2e^{x }fxy= -2ye^{x
How do I find the extremes? I set fx and fy to 0, but I can't solve for x and y.
Thanks for any help.}

Re: Another local extreme problem

Re: Another local extreme problem

Yes. Thank you very much! It's the little things that always trip me up.