\[ y(x) y''(x) (1-\log (y(x)))+y'(x)^2 (\log (y(x))+1)=0 \] ✓ Mathematica : cpu = 0.286573 (sec), leaf count = 29
\[\left \{\left \{y(x)\to e^{\frac {c_1 x-1+c_2 c_1}{c_1 (x+c_2)}}\right \}\right \}\] ✓ Maple : cpu = 0.124 (sec), leaf count = 19
\[y \relax (x ) = {\mathrm e}^{\frac {c_{1} x +c_{2}-1}{c_{1} x +c_{2}}}\]