\[ y(x) y''(x)-y'(x)^2+y(x)^2 (-\log (y(x)))=0 \] ✓ Mathematica : cpu = 0.255674 (sec), leaf count = 73
\[\left \{\left \{y(x)\to \exp \left (-\frac {1}{2} \sqrt {c_1} e^{-c_2-x} \left (e^{2 \left (c_2+x\right )}-1\right )\right )\right \},\left \{y(x)\to \exp \left (\frac {1}{2} \sqrt {c_1} e^{-c_2-x} \left (e^{2 \left (c_2+x\right )}-1\right )\right )\right \}\right \}\]
✓ Maple : cpu = 0.107 (sec), leaf count = 25
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-{\frac {{{\rm e}^{2\,x}}{\it \_C1}}{2\,{{\rm e}^{x}}}}}}{{\rm e}^{{\frac {{\it \_C2}}{2\,{{\rm e}^{x}}}}}} \right \} \]