The solution of the differential equatio...

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

A

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

B

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

C

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

D

None of these

Verified by Experts

The correct Answer is:

C

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