\[ \boxed { x \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) \ln \left ( x \right ) - \left ( y \left ( x \right ) \right ) ^{2}\ln \left ( x \right ) - \left ( 2\, \left ( \ln \left ( x \right ) \right ) ^{2}+1 \right ) y \left ( x \right ) - \left ( \ln \left ( x \right ) \right ) ^{3}=0} \]
Mathematica: cpu = 0.075510 (sec), leaf count = 98 \[ \left \{\left \{y(x)\to -\frac {x \left (\frac {c_1 e^{\frac {\log ^2(x)}{2}} \log (x)}{x}+\frac {e^{\frac {\log ^2(x)}{2}} \log (x)}{x}+\frac {e^{\frac {\log ^2(x)}{2}} \log ^3(x)}{2 x}\right )}{c_1 e^{\frac {\log ^2(x)}{2}}+\frac {1}{2} e^{\frac {\log ^2(x)}{2}} \log ^2(x)}\right \}\right \} \]
Maple: cpu = 0.015 (sec), leaf count = 23 \[ \left \{ y \left ( x \right ) =-{\frac {\ln \left ( x \right ) \left ( \left ( \ln \left ( x \right ) \right ) ^{2}+{\it \_C1}+2 \right ) }{ \left ( \ln \left ( x \right ) \right ) ^{2}+{\it \_C1}}} \right \} \]