\[ -y'(x)^2+y(x) y''(x)+y(x)^2 (-\log (y(x)))=0 \] ✓ Mathematica : cpu = 0.335411 (sec), leaf count = 77
\[\left \{\left \{y(x)\to \exp \left (-\frac {1}{2} \sqrt {c_1} e^{-x-c_2} \left (-1+e^{2 x+2 c_2}\right )\right )\right \},\left \{y(x)\to \exp \left (\frac {1}{2} \sqrt {c_1} e^{-x-c_2} \left (-1+e^{2 x+2 c_2}\right )\right )\right \}\right \}\] ✓ Maple : cpu = 0.338 (sec), leaf count = 21
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {{{\rm e}^{-2\,x}}{\it \_C1}\,{{\rm e}^{x}}}{2}}}}{{\rm e}^{-{\frac {{\it \_C2}\,{{\rm e}^{x}}}{2}}}} \right \} \]