if ex+ey=ex+y,prove that dy/dx= -ey-x

the given equation is 
ex+ey=ex+yex+ey=ex.eyexex.ey+eyex.ey=1e-y+e-x=1
differentiating wrt x :
-e-y*dydx-e-x=0e-y*dydx=-e-xdydx=-ey.e-x=-ey-x
which is the required result.
hope this helps you

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