\[ x y'(x) \left (2 x^2 y(x) \log (y(x))+1\right )-2 y(x)=0 \] ✓ Mathematica : cpu = 0.0743713 (sec), leaf count = 23
\[\text {Solve}\left [y(x) \left (\frac {1}{x^2}+y(x) \left (\log (y(x))-\frac {1}{2}\right )\right )=c_1,y(x)\right ]\]
✓ Maple : cpu = 0.082 (sec), leaf count = 36
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( 2\,{\it \_Z}\,{x}^{2} \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}-{x}^{2} \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}+2\,{\it \_C1}\,{x}^{2}+2\,{{\rm e}^{{\it \_Z}}} \right ) }} \right \} \]