\[ y'(x)=\frac {x^2 \log ^2(x)+y(x)^2+y(x)-2 x y(x) \log (x)+x}{x} \] ✓ Mathematica : cpu = 0.116504 (sec), leaf count = 40
\[\left \{\left \{y(x)\to -\frac {1}{2} x^2 \left (\frac {1-2 x \log (x)}{x^2}-\frac {1}{x^2}\right )+\frac {1}{-1+\frac {c_1}{x}}\right \}\right \}\] ✓ Maple : cpu = 0.064 (sec), leaf count = 16
\[y \relax (x ) = \left (\ln \relax (x )+\frac {1}{c_{1}-x}\right ) x\]