The solution of the differential equatio...

The solution of the differential equation `(1+y^2)tan^(-1) x dx +(1+x^2)2ydy=0` is

A

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

B

`(tan^(-1)x)^2 + 2log |1+y^2 |=c `

C

`tan^(-1) x + log |1 + y^2 =c `

D

`1/2(tan^(-1)x)^2 + 2log |1+y^2|=c`

Verified by Experts

The correct Answer is:

B

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