5.56   ODE No. 1504

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

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

Mathematica: cpu = 0.108014 (sec), leaf count = 43 $$\left\{\{y(x)\to \frac{c_1{x}^2}{2}+\frac{1}{2}i{c}_2{e}^{-ix}-\frac{1}{4}{c}_3{e}^{ix}\}\right\}$$

Maple: cpu = 0.171 (sec), leaf count = 18 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{x}^2+\mathit{\_}\mathit{C}\mathit{2}\cos \left(x\right)+\mathit{\_}\mathit{C}\mathit{3}\sin \left(x\right)\}$$