Find the general solution of the differential equation.

4+xdy/dx=y^2

Using partial fractions.

(1/4 /(y-2) -1/4 /(y+2))dy/dx=1/x

Integrate b.s

1/4ln|y-2/y+2|=ln|kx|

y-2=kx^4(y+2)

solving for y

y=2kx^4+2/(1-kx^4)

The book gives an answer of y=2(1-Kx^4)/(1+kx^4).

I'll be happy if you can confirm either answer.

Thanks.