5.84   ODE No. 1532

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)+x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+ny\left(x\right)=0}}$$

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

Mathematica: cpu = 0.018502 (sec), leaf count = 103 $$\left\{\{y(x)\to \frac{c_{2}x{}_1{F}_2(\frac{n}{3}+\frac{1}{3};\frac{2}{3},\frac{4}{3};-\frac{x^3}{9})}{3^{2/3}}+c_1{}_1{F}_2(\frac{n}{3};\frac{1}{3},\frac{2}{3};-\frac{x^3}{9})+\frac{c_3{x}^2{}_1{F}_2(\frac{n}{3}+\frac{2}{3};\frac{4}{3},\frac{5}{3};-\frac{x^3}{9})}{3\sqrt[3]{3}}\}\right\}$$

Maple: cpu = 0.078 (sec), leaf count = 58 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{}_1\text{F}{}_2(\frac{n}{3};\frac{1}{3},\frac{2}{3};-\frac{x^3}{9})+\mathit{\_}\mathit{C}\mathit{2}x{}_1\text{F}{}_2(\frac{1}{3}+\frac{n}{3};\frac{2}{3},\frac{4}{3};-\frac{x^3}{9})+\mathit{\_}\mathit{C}\mathit{3}{x}^2{}_1\text{F}{}_2(\frac{2}{3}+\frac{n}{3};\frac{4}{3},\frac{5}{3};-\frac{x^3}{9})\}$$