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The solution of differential equation ...

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

A

`(x-2)=Ce^(-2tan^(-1)y)`

B

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

C

`xe^(tan^(-1)y)=tan^(-1)y+C`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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