6.19   ODE No. 1552

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

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.047 (sec), leaf count = 89 $$\{y\left(x\right)=\frac{b{x}^2}{a}+\mathit{\_}\mathit{C}\mathit{1}\sqrt{x}{\mathit{J}}_1\left(2\sqrt[4]{-a}\sqrt{x}\right)+\mathit{\_}\mathit{C}\mathit{2}\sqrt{x}{\mathit{Y}}_1\left(2\sqrt[4]{-a}\sqrt{x}\right)+\mathit{\_}\mathit{C}\mathit{3}\sqrt{x}{\mathit{J}}_1\left(2\sqrt{-\sqrt{-a}}\sqrt{x}\right)+\mathit{\_}\mathit{C}\mathit{4}\sqrt{x}{\mathit{Y}}_1\left(2\sqrt{-\sqrt{-a}}\sqrt{x}\right)\}$$