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If e^x+e^y=e^(x+y) , prove that (dy)/(dx...

If `e^x+e^y=e^(x+y)` , prove that `(dy)/(dx)=-(e^x(e^y-1))/(e^y(e^x-1))` or, `(dy)/(dx)+e^(y-x)=0`

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