6.27   ODE No. 1560

$$\boxed{{\displaystyle x^3\mathit{d}\mathit{4}\mathit{y}\left(x\right)+6x^2\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)+6x\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.020003 (sec), leaf count = 29 $$\left\{\{y(x)\to c_{4}x+\frac{1}{2}(\frac{c_2}{x}-2c_1\log (x))+c_3\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 18 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2}\ln \left(x\right)+\frac{\mathit{\_}\mathit{C}\mathit{3}}{x}+\mathit{\_}\mathit{C}\mathit{4}x\}$$