\[ y(x) y''(x)-y'(x)^2+y(x)^2 (-\log (y(x)))=0 \] ✓ Mathematica : cpu = 0.0945617 (sec), leaf count = 63
\[\left \{\left \{y(x)\to e^{\frac {1}{2} \left (e^{c_2+x}-c_1 e^{-c_2-x}\right )}\right \},\left \{y(x)\to e^{\frac {1}{2} \left (e^{-c_2-x}-c_1 e^{c_2+x}\right )}\right \}\right \}\]
✓ Maple : cpu = 0.07 (sec), leaf count = 25
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-{\frac {{{\rm e}^{2\,x}}{\it \_C1}}{2\,{{\rm e}^{x}}}}}}{{\rm e}^{{\frac {{\it \_C2}}{2\,{{\rm e}^{x}}}}}} \right \} \]