6.26   ODE No. 1559

$$\boxed{{\displaystyle x^3\mathit{d}\mathit{4}\mathit{y}\left(x\right)+2x^2\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)-x\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-a^4{x}^{3}y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.264534 (sec), leaf count = 100 $$\left\{\{y(x)\to c_4{G}_{0,4}^{2,0}\left(\frac{a^4{x}^4}{256}|\begin{array}{c}0,0,\frac{1}{2},\frac{1}{2}\end{array}\right)+c_2{G}_{0,4}^{2,0}\left(\frac{a^4{x}^4}{256}|\begin{array}{c}\frac{1}{2},\frac{1}{2},0,0\end{array}\right)+\frac{1}{8}i{c}_1(I_0(ax)-J_0(ax))+\frac{1}{2}{c}_3(J_0(ax)+I_0(ax))\}\right\}$$

Maple: cpu = 0.078 (sec), leaf count = 33 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathit{I}}_0\left(ax\right)+\mathit{\_}\mathit{C}\mathit{2}{\mathit{J}}_0\left(ax\right)+\mathit{\_}\mathit{C}\mathit{3}{\mathit{K}}_0\left(ax\right)+\mathit{\_}\mathit{C}\mathit{4}{\mathit{Y}}_0\left(ax\right)\}$$