\[ y'(x)=\frac {y(x) (x \log (y(x))+\log (y(x))+x)}{x (x+1)} \] ✓ Mathematica : cpu = 0.138668 (sec), leaf count = 22
\[\left \{\left \{y(x)\to x^x (x+1)^{-x} e^{c_1 x}\right \}\right \}\] ✓ Maple : cpu = 0.282 (sec), leaf count = 14
\[ \left \{ y \left ( x \right ) = \left ( {\frac {{\it \_C1}\,x}{1+x}} \right ) ^{x} \right \} \]