\[ y'(x)=\frac {(2 y(x) \log (x)-1)^2}{x} \] ✓ Mathematica : cpu = 0.782168 (sec), leaf count = 38
\[\left \{\left \{y(x)\to \frac {1}{\sqrt {2} \left (\sqrt {2} \log (x)-\tan \left (\frac {c_1+2 \log (x)}{\sqrt {2}}\right )\right )}\right \}\right \}\]
✓ Maple : cpu = 0.22 (sec), leaf count = 62
\[ \left \{ y \left ( x \right ) ={\frac {\sin \left ( \ln \left ( x \right ) \sqrt {2} \right ) {\it \_C1}-\cos \left ( \ln \left ( x \right ) \sqrt {2} \right ) }{\sin \left ( \ln \left ( x \right ) \sqrt {2} \right ) \left ( 2\,{\it \_C1}\,\ln \left ( x \right ) +\sqrt {2} \right ) + \left ( \sqrt {2}{\it \_C1}-2\,\ln \left ( x \right ) \right ) \cos \left ( \ln \left ( x \right ) \sqrt {2} \right ) }} \right \} \]