\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {x+y \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{2}-2\,y \left ( x \right ) \ln \left ( x \right ) x+{x}^{2} \left ( \ln \left ( x \right ) \right ) ^{2}}{x}}=0} \]
Mathematica: cpu = 0.015002 (sec), leaf count = 40 \[ \left \{\left \{y(x)\to \frac {1}{\frac {c_1}{x}-1}-\frac {1}{2} x^2 \left (\frac {1-2 x \log (x)}{x^2}-\frac {1}{x^2}\right )\right \}\right \} \]
Maple: cpu = 0.062 (sec), leaf count = 16 \[ \left \{ y \left ( x \right ) = \left ( \ln \left ( x \right ) + \left ( { \it \_C1}-x \right ) ^{-1} \right ) x \right \} \]