\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( -1+y \left ( x \right ) \ln \left ( x \right ) \right ) ^{2}}{x}}=0} \]
Mathematica: cpu = 0.753596 (sec), leaf count = 25 \[ \left \{\left \{y(x)\to \frac {\tan \left (c_1+\log (x)\right )}{\log (x) \tan \left (c_1+\log (x)\right )+1}\right \}\right \} \]
Maple: cpu = 0.141 (sec), leaf count = 39 \[ \left \{ y \left ( x \right ) ={\frac {\sin \left ( \ln \left ( x \right ) \right ) {\it \_C1}+\cos \left ( \ln \left ( x \right ) \right ) }{ \left ( \sin \left ( \ln \left ( x \right ) \right ) {\it \_C1}+\cos \left ( \ln \left ( x \right ) \right ) \right ) \ln \left ( x \right ) +\cos \left ( \ln \left ( x \right ) \right ) {\it \_C1}-\sin \left ( \ln \left ( x \right ) \right ) }} \right \} \]