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(dy)/(dx)=(1+x)(1+y^(2))A)(1)/(2)log[(1+...

`(dy)/(dx)=(1+x)(1+y^(2))`A)`(1)/(2)log[(1+y)/(1-y)]=x+(x^(2))/(2)+c` B)`log(1+y^(2))=x+(x^(2))/(2)+c` C)`tan^(-1)y=x+(x^(2))/(2)+c` D)`tan^(-1)x=y+(y^(2))/(2)+c`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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