2.131   ODE No. 131

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

\[ (2 x+1) y'(x)-4 e^{-y(x)}+2=0 \] Mathematica : cpu = 0.173899 (sec), leaf count = 21

\[\left \{\left \{y(x)\to \log \left (2-\frac {e^{c_1}}{2 x+1}\right )\right \}\right \}\] Maple : cpu = 0.158 (sec), leaf count = 31

\[ \left \{ y \left ( x \right ) =-\ln \left ( {\frac {2\,x+1}{-1+ \left ( 4\,x+2 \right ) {{\rm e}^{2\,{\it \_C1}}}}} \right ) -2\,{\it \_C1} \right \} \]