The solution of the differential equatio...

The solution of the differential equation
`(dy)/(dx) = e^(x-y) (e^(x)-e^(y))` is

A

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

B

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

C

` e ^x = e ^(y) -1 + Ce ^(-ey )`

D

none of these

Verified by Experts

The correct Answer is:

A

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