6.34   ODE No. 1567

$$\boxed{{\displaystyle x^4\mathit{d}\mathit{4}\mathit{y}\left(x\right)+8x^3\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)+12x^2\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.020503 (sec), leaf count = 30 $$\left\{\{y(x)\to \frac{1}{6}(\frac{c_1}{x^2}+\frac{3c_2}{x})+c_{4}x+c_3\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 19 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}+\frac{\mathit{\_}\mathit{C}\mathit{2}}{x}+\frac{\mathit{\_}\mathit{C}\mathit{3}}{x^2}+\mathit{\_}\mathit{C}\mathit{4}x\}$$