2.235   ODE No. 235

\[ (a+x y(x)) y'(x)+b y(x)=0 \] Mathematica : cpu = 0.108396 (sec), leaf count = 40


\[\text {Solve}\left [x=-\frac {a e^{-\frac {y(x)}{b}} \text {Ei}\left (\frac {y(x)}{b}\right )}{b}+c_1 e^{-\frac {y(x)}{b}},y(x)\right ]\] Maple : cpu = 0.055 (sec), leaf count = 30


\[c_{1}+\frac {1}{-{\mathrm e}^{\frac {y \relax (x )}{b}} b x +a \Ei \left (1, -\frac {y \relax (x )}{b}\right )} = 0\]