2.235   ODE No. 235

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

\[ (a+x y(x)) y'(x)+b y(x)=0 \] Mathematica : cpu = 0.209539 (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 = 0.056 (sec), leaf count = 30

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