\[ y'(x)=\frac {y(x) \log (y(x)) (x \log (y(x))+x+1)}{x (x+1)} \] ✓ Mathematica : cpu = 0.143623 (sec), leaf count = 21
\[\left \{\left \{y(x)\to e^{\frac {x}{-x+\log (x+1)+c_1}}\right \}\right \}\] ✓ Maple : cpu = 0.297 (sec), leaf count = 18
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {x}{\ln \left ( 1+x \right ) +{\it \_C1}-x}}}} \right \} \]