\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {1+2\,y \left ( x \right ) }{x \left ( -2+xy \left ( x \right ) +2\,x \left ( y \left ( x \right ) \right ) ^{2} \right ) }}=0} \]
Mathematica: cpu = 0.131517 (sec), leaf count = 39 \[ \text {Solve}\left [\frac {1}{8} (-2 y(x)+\log (4 y(x)+2)-1)-\frac {1}{2 x (2 y(x)+1)}=c_1,y(x)\right ] \]
Maple: cpu = 0.140 (sec), leaf count = 35 \[ \left \{ y \left ( x \right ) ={\frac {{{\rm e}^{{\it RootOf} \left ( x \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}+2\,{\it \_C1}\,x{{\rm e}^{{ \it \_Z}}}-{\it \_Z}\,x{{\rm e}^{{\it \_Z}}}-x{{\rm e}^{{\it \_Z}}}+4 \right ) }}}{2}}-{\frac {1}{2}} \right \} \]