2.1533   ODE No. 1533

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

$$-ny(x)+y^{(3)}(x)-x{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0184743 (sec), leaf count = 113

$$\left\{\{y(x)\to \frac{\sqrt[3]{-1}{c}_{2}x{}_1{F}_2(\frac{n}{3}+\frac{1}{3};\frac{2}{3},\frac{4}{3};\frac{x^3}{9})}{3^{2/3}}+c_1{}_1{F}_2(\frac{n}{3};\frac{1}{3},\frac{2}{3};\frac{x^3}{9})+\frac{(-1{)}^{2/3}{c}_3{x}^2{}_1{F}_2(\frac{n}{3}+\frac{2}{3};\frac{4}{3},\frac{5}{3};\frac{x^3}{9})}{3\sqrt[3]{3}}\}\right\}$$

✓ Maple : cpu = 0.095 (sec), leaf count = 58

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{}_1\text{F}{}_2(\frac{n}{3};\frac{1}{3},\frac{2}{3};\frac{x^3}{9})+\mathit{\_}\mathit{C}\mathit{2}x{}_1\text{F}{}_2(\frac{1}{3}+\frac{n}{3};\frac{2}{3},\frac{4}{3};\frac{x^3}{9})+\mathit{\_}\mathit{C}\mathit{3}{x}^2{}_1\text{F}{}_2(\frac{2}{3}+\frac{n}{3};\frac{4}{3},\frac{5}{3};\frac{x^3}{9})\}$$