The solution of (dy)/(dx) = 1+ y + y^(2...

The solution of ` (dy)/(dx) = 1+ y + y^(2) + x+ xy + xy^(2)` is

A

(a) `2/sqrt3tan^(-1)((2y+1)/sqrt3)=x+x^2+c`

B

(b) `4tan^(-1)((2y-1)/sqrt3)=sqrt3/2 (2x+x^2) +c `

C

(c) `sqrt3tan^(-1)((3y+1)/sqrt3)=4(1+x+x^2)+c`

D

(d) `4 tan^(-1)((2y+1)/sqrt3)=sqrt3(2x+x^2)+c`

Text Solution

Verified by Experts

The correct Answer is:

D

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