2.1604   ODE No. 1604

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

\[ y''(x)-e^{y(x)}=0 \] Mathematica : cpu = 0.0427803 (sec), leaf count = 34

\[\left \{\left \{y(x)\to \log \left (\frac {1}{2} c_1 \left (-1+\tanh ^2\left (\frac {1}{2} \sqrt {c_1 (x+c_2){}^2}\right )\right )\right )\right \}\right \}\] Maple : cpu = 0.269 (sec), leaf count = 23

\[\left \{y \left (x \right ) = \ln \left (\frac {\tan ^{2}\left (\frac {c_{2}+x}{2 c_{1}}\right )+1}{2 c_{1}^{2}}\right )\right \}\]