\[ y'(x)=\frac {2 y(x)+1}{x \left (2 x y(x)^2+x y(x)-2\right )} \] ✓ Mathematica : cpu = 0.290668 (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 = 0.275 (sec), leaf count = 35
\[ \left \{ y \left ( x \right ) ={\frac {{{\rm e}^{{\it RootOf} \left ( x \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}+2\,{\it \_C1}\,x{{\rm e}^{{\it \_Z}}}-{\it \_Z}\,x{{\rm e}^{{\it \_Z}}}-x{{\rm e}^{{\it \_Z}}}+4 \right ) }}}{2}}-{\frac {1}{2}} \right \} \]