Would really appreciate help with this.

Show thate^2y+e^2x= 1 defines an implicit solution of the dif-

ferential equatione^(x-y)+e^(y-x) dy/dx= 0

I've differentiated the equatione^2y+e^2x= 1

Then tried pluging the result into the differential equation in place of dy/dx but to no avail.

Thanks!