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Solution of the equation (dy)/(dx) = e^(...

Solution of the equation `(dy)/(dx) = e^(x-y) (e^(x)-e^(y))` is equal to

A

`e^(y)=e^(x)-1 ce^(-e^(x))`

B

`e^(y-x)=1+ce^(-e^(x))`

C

`e^(x)+e^(y) = ce^(-e^(x))`

D

none of these

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The correct Answer is:
A
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