2.1604   ODE No. 1604

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

\[ y''(x)-e^{y(x)}=0 \] Mathematica : cpu = 0.0400051 (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 = 1.542 (sec), leaf count = 23

\[ \left \{ y \left ( x \right ) =\ln \left ( {\frac {1}{2\,{{\it \_C1}}^{2}} \left ( \left ( \tan \left ( {\frac {{\it \_C2}+x}{2\,{\it \_C1}}} \right ) \right ) ^{2}+1 \right ) } \right ) \right \} \]