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xy(dy)/(dx) =(1+y^2)/(1+x^2) (1+x+x^2)...

`xy(dy)/(dx) =(1+y^2)/(1+x^2) (1+x+x^2)`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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