2.1524   ODE No. 1524

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

$$x^6{y}^{(3)}(x)+x^2{y}^{″}(x)-2y(x)=0$$ ✓ Mathematica : cpu = 0.205933 (sec), leaf count = 96

$$\left\{\{y(x)\to -\frac{{(-\frac{1}{3})}^{2/3}{c}_{2}x\mathrm{\Gamma }\left(\frac{1}{3}\right){}_2{F}_2(-\frac{2}{3},\frac{1}{3};\frac{2}{3},\frac{4}{3};\frac{1}{3x^3})}{3\mathrm{\Gamma }\left(\frac{4}{3}\right)}+\frac{c_3\mathrm{\Gamma }\left(\frac{2}{3}\right){}_2{F}_2(-\frac{1}{3},\frac{2}{3};\frac{4}{3},\frac{5}{3};\frac{1}{3x^3})}{9\mathrm{\Gamma }\left(\frac{5}{3}\right)}+c_1{x}^2\}\right\}$$

✓ Maple : cpu = 0.551 (sec), leaf count = 98

$$\{y\left(x\right)=x^2(\int 1{\mathrm{e}}^{\frac{1}{6x^3}}(2x^3{\mathit{I}}_{1/6}(-1/6x^{-3})-{\mathit{I}}_{\frac{1}{6}}(-\frac{1}{6x^3})-{\mathit{I}}_{-\frac{5}{6}}(-\frac{1}{6x^3}))x^{-\frac{11}{2}}\mathrm{d}x\mathit{\_}\mathit{C}\mathit{3}+\int 1{\mathrm{e}}^{\frac{1}{6x^3}}(2x^3{\mathit{K}}_{1/6}(-1/6x^{-3})+{\mathit{K}}_{\frac{5}{6}}(-\frac{1}{6x^3})-{\mathit{K}}_{\frac{1}{6}}(-\frac{1}{6x^3}))x^{-\frac{11}{2}}\mathrm{d}x\mathit{\_}\mathit{C}\mathit{2}+\mathit{\_}\mathit{C}\mathit{1})\}$$