I am trying to solve the equation
$ y^{\prime\prime}+\frac{{y^{\prime}}^{2}}{y}+\frac{2y^{\prime}}{x+1}+\frac{y^{\prime}}{x(x+1)}=\frac{x+1}{6xy^{2}} $
I was successful to solve the above equation for $x\ll{1}$ and $1\ll{x}$, but is it possible to solve this equation for all values of $x$.