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x(1+y^(2))dx+y(1+x^(2))dy=0A)tan^(-1)x+t...

`x(1+y^(2))dx+y(1+x^(2))dy=0`A)`tan^(-1)x+tan^(-1)y=c` B)`1+x^(2)=c(1+y^(2))` C)`(1+x^(2))(1+y^(2))=c` D)`(1-x^(2))(1+y^(2))=c`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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