ODE No. 1703

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y(x) y''(x)-y'(x)^2+y(x)^2 (-\log (y(x)))=0 \] Mathematica : cpu = 0.236629 (sec), leaf count = 77

\[\left \{\left \{y(x)\to \exp \left (-\frac {1}{2} \sqrt {c_1} e^{-c_2-x} \left (e^{2 c_2+2 x}-1\right )\right )\right \},\left \{y(x)\to \exp \left (\frac {1}{2} \sqrt {c_1} e^{-c_2-x} \left (e^{2 c_2+2 x}-1\right )\right )\right \}\right \}\] Maple : cpu = 0.088 (sec), leaf count = 21

\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {{{\rm e}^{-2\,x}}{\it \_C1}\,{{\rm e}^{x}}}{2}}}}{{\rm e}^{-{\frac {{\it \_C2}\,{{\rm e}^{x}}}{2}}}} \right \} \]