\[ y(x) y''(x) (1-\log (y(x)))+y'(x)^2 (\log (y(x))+1)=0 \] ✓ Mathematica : cpu = 0.0264596 (sec), leaf count = 29
\[\left \{\left \{y(x)\to e^{\frac {c_1 x+c_2 c_1-1}{c_1 \left (c_2+x\right )}}\right \}\right \}\] ✓ Maple : cpu = 0.05 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {{\it \_C1}\,x+{\it \_C2}-1}{{\it \_C1}\,x+{\it \_C2}}}}} \right \} \]