\[ y'(x)=\frac {x^2 \log ^2(x)+y(x)^2+y(x)-2 x y(x) \log (x)+x}{x} \] ✓ Mathematica : cpu = 0.018715 (sec), leaf count = 26
\[\left \{\left \{y(x)\to \frac {x \left (\left (x-c_1\right ) \log (x)-1\right )}{x-c_1}\right \}\right \}\]
✓ Maple : cpu = 0.05 (sec), leaf count = 16
\[ \left \{ y \left ( x \right ) = \left ( \ln \left ( x \right ) + \left ( {\it \_C1}-x \right ) ^{-1} \right ) x \right \} \]