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The general solution of the differential...

The general solution of the differential equation `(1 + y^(2)) dx = (tan ^(-1) y-x)dy` is

A

`x tan ^(-1) y = e ^((tna ^(-1) y -1))+ k`

B

`x tan ^(-1) y = e ^(tan -1)y-1 +k`

C

` x e ^(tna -1) y = (tan ^(-1) y - e ^(y)) +k`

D

`x = (tan ^(-1) y-1) + ke ^(-tan ^(-1))y `

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The correct Answer is:
D
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