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 = 0.23194 (sec), leaf count = 21

\[\left \{\left \{y(x)\to \log \left (2-\frac {e^{c_1}}{2 x+1}\right )\right \}\right \}\] Maple : cpu = 0.193 (sec), leaf count = 31

\[\left \{y \left (x \right ) = -2 c_{1}-\ln \left (\frac {2 x +1}{\left (4 x +2\right ) {\mathrm e}^{2 c_{1}}-1}\right )\right \}\]