3.235   ODE No. 235

$$\boxed{{\displaystyle (xy\left(x\right)+a)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+by\left(x\right)=0}}$$

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

Mathematica: cpu = 0.042505 (sec), leaf count = 40 $$\text{Solve}[x=c_1{e}^{-\frac{y(x)}{b}}-\frac{a{e}^{-\frac{y(x)}{b}}\text{Ei}\left(\frac{y(x)}{b}\right)}{b},y(x)]$$

Maple: cpu = 0.047 (sec), leaf count = 30 $$\{\mathit{\_}\mathit{C}\mathit{1}+{(-{\mathrm{e}}^{\frac{y\left(x\right)}{b}}bx+a\mathit{E}\mathit{i}(1,-\frac{y\left(x\right)}{b}))}^{-1}=0\}$$