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The solution of the differential equatio...

The solution of the differential equation `(1 + y^(2)) + (x- e^(Tan^(-1)y)) (dy)/(dx) = 0` is

A

`x e^(Tan^(-1))y = Tan^(-1) y + c`

B

`x e^(2Tan^(-1)y) = e^(Tan^(-1) y) + c`

C

`2x e^(Tan^(-1)y) = e^(2Tan^(-1) y) + c`

D

`x^(2) e^(Tan^(-1)y) = 4e^(2Tan^(-1) y) + c`

Text Solution

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The correct Answer is:
C
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