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Solve the following differential equatio...

Solve the following differential equation: `(1+y^2)tan^(-1)dx+2y(1+x^2)dy=0`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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