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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

`xe^(2tan^(-1)y)-e^(tan^(-1)y)=c`

B

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

C

`2xe^(tan^(-1)y)-e^(2tan^(-1)y)=c`

D

`xe^(tan^(-1)y)+2e^(2tan^(-1)y)=c`

Text Solution

Verified by Experts

The correct Answer is:
C
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