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(dy)/(dx)=(3+x^(2))/(9+y^(2))...

`(dy)/(dx)=(3+x^(2))/(9+y^(2))`

A

`x^(3)-y^(3)+9(x-3y)=c`

B

`x^(3)+x+y^(3)+27y=c`

C

`3tan^(-1)((x)/(3))=tan^(-1)((y)/(9))+c`

D

`tan^(-1)((x)/(sqrt3))=tan^(-1)((y)/(3))+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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