ODE No. 131

\[ (2 x+1) y'(x)-4 e^{-y(x)}+2=0 \]

✓ Mathematica : cpu = 0.177406 (sec), leaf count = 20

DSolve[2 - 4/E^y[x] + (1 + 2*x)*Derivative[1][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to \log \left (2+\frac {e^{c_1}}{2 x+1}\right )\right \}\right \}\]

✓ Maple : cpu = 0.253 (sec), leaf count = 31

dsolve((2*x+1)*diff(y(x),x)-4*exp(-y(x))+2 = 0,y(x))

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