\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( 2\,y \left ( x \right ) \ln \left ( x \right ) -1 \right ) ^{2}}{x}}=0} \]
Mathematica: cpu = 0.780599 (sec), leaf count = 47 \[ \left \{\left \{y(x)\to \frac {1}{\sqrt {2} \left (\sqrt {2} \log (x)-\tan \left (\frac {1}{2} \left (\sqrt {2} c_1+2 \sqrt {2} \log (x)\right )\right )\right )}\right \}\right \} \]
Maple: cpu = 0.172 (sec), leaf count = 72 \[ \left \{ y \left ( x \right ) ={\frac {\sin \left ( \sqrt {2}\ln \left ( x \right ) \right ) {\it \_C1}+\cos \left ( \sqrt {2}\ln \left ( x \right ) \right ) }{ \left ( 2\,\sin \left ( \sqrt {2}\ln \left ( x \right ) \right ) {\it \_C1}+2\,\cos \left ( \sqrt {2}\ln \left ( x \right ) \right ) \right ) \ln \left ( x \right ) +\sqrt {2}\cos \left ( \sqrt {2}\ln \left ( x \right ) \right ) {\it \_C1}-\sqrt {2} \sin \left ( \sqrt {2}\ln \left ( x \right ) \right ) }} \right \} \]