\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {1+2\,y \left ( x \right ) }{x \left ( -2+x \left ( y \left ( x \right ) \right ) ^{2}+2\,x \left ( y \left ( x \right ) \right ) ^{3} \right ) }}=0} \]
Mathematica: cpu = 0.197525 (sec), leaf count = 47 \[ \text {Solve}\left [\frac {1}{64} \left (-4 y(x)^2+4 y(x)-2 \log (8 y(x)+4)+3\right )-\frac {1}{4 x (2 y(x)+1)}=c_1,y(x)\right ] \]
Maple: cpu = 0.125 (sec), leaf count = 42 \[ \left \{ y \left ( x \right ) ={\frac {{{\rm e}^{{\it RootOf} \left ( x \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{3}-4\,x \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}+16\,{\it \_C1}\,x{{\rm e}^{{\it \_Z}}}+2\,{\it \_Z }\,x{{\rm e}^{{\it \_Z}}}+3\,x{{\rm e}^{{\it \_Z}}}+16 \right ) }}}{2}} -{\frac {1}{2}} \right \} \]