7.15   ODE No. 1588

$$\boxed{{\displaystyle x^{10}\frac{{\mathrm{d}}^5}{\mathrm{d}{x}^5}y\left(x\right)-ay\left(x\right)=0}}$$

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

Mathematica: cpu = 6.345306 (sec), leaf count = 114 $$\left\{\{y(x)\to c_1{x}^4{e}^{-\frac{\sqrt[5]{a}}{x}}+c_2{x}^4{e}^{\frac{\sqrt[5]{-1}\sqrt[5]{a}}{x}}+c_3{x}^4{e}^{-\frac{(-1{)}^{2/5}\sqrt[5]{a}}{x}}+c_4{x}^4{e}^{\frac{(-1{)}^{3/5}\sqrt[5]{a}}{x}}+c_5{x}^4{e}^{-\frac{(-1{)}^{4/5}\sqrt[5]{a}}{x}}\}\right\}$$

Maple: cpu = 0.078 (sec), leaf count = 90 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{}_0\text{F}{}_4(;\frac{6}{5},\frac{7}{5},\frac{8}{5},\frac{9}{5};-\frac{a}{3125x^5})+\mathit{\_}\mathit{C}\mathit{2}x{}_0\text{F}{}_4(;\frac{4}{5},\frac{6}{5},\frac{7}{5},\frac{8}{5};-\frac{a}{3125x^5})+\mathit{\_}\mathit{C}\mathit{3}{x}^2{}_0\text{F}{}_4(;\frac{3}{5},\frac{4}{5},\frac{6}{5},\frac{7}{5};-\frac{a}{3125x^5})+\mathit{\_}\mathit{C}\mathit{4}{x}^3{}_0\text{F}{}_4(;\frac{2}{5},\frac{3}{5},\frac{4}{5},\frac{6}{5};-\frac{a}{3125x^5})+\mathit{\_}\mathit{C}\mathit{5}{x}^4{}_0\text{F}{}_4(;\frac{1}{5},\frac{2}{5},\frac{3}{5},\frac{4}{5};-\frac{a}{3125x^5})\}$$