\[ x y'(x) \left (2 x^2 y(x) \log (y(x))+1\right )-2 y(x)=0 \] ✓ Mathematica : cpu = 0.159196 (sec), leaf count = 35
\[\text {Solve}\left [\frac {y(x)}{x^2}+2 \left (\frac {1}{2} y(x)^2 \log (y(x))-\frac {y(x)^2}{4}\right )=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.071 (sec), leaf count = 36
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( 2\,{\it \_Z}\,{x}^{2} \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}-{x}^{2} \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}+2\,{\it \_C1}\,{x}^{2}+2\,{{\rm e}^{{\it \_Z}}} \right ) }} \right \} \]