8.72   ODE No. 1662

$$\boxed{{\displaystyle a\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+h\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)+cy\left(x\right)=0}}$$

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

Mathematica: cpu = 1.537195 (sec), leaf count = 22 $$\text{DSolve}[a{y}^{″}(x)+cy(x)+h(y^{\prime }(x))=0,y(x),x]$$

Maple: cpu = 0.266 (sec), leaf count = 56 $$\{y\left(x\right)=\mathit{O}\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}\mathit{S}\mathit{t}\mathit{r}\mathit{u}\mathit{c}(\mathit{\_}\mathit{a},[\{\left(\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{a}}\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)\right)\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)+\frac{h\left(\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)\right)+c\mathit{\_}\mathit{a}}{a}=0\},\{\mathit{\_}\mathit{a}=y\left(x\right),\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)=\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\},\{x=\int {\left(\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)\right)}^{-1}\mathrm{d}\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1},y\left(x\right)=\mathit{\_}\mathit{a}\}])\}$$