4.46   ODE No. 1046

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

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

Mathematica: cpu = 0.006501 (sec), leaf count = 31 $$\left\{\{y(x)\to c_1{H}_{\frac{a}{2}}(x)+c_2{}_1{F}_1(-\frac{a}{4};\frac{1}{2};x^2)\}\right\}$$

Maple: cpu = 0.063 (sec), leaf count = 31 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\mathit{M}(\frac{1}{2}-\frac{a}{4},\frac{3}{2},x^2)x+\mathit{\_}\mathit{C}\mathit{2}\mathit{U}(\frac{1}{2}-\frac{a}{4},\frac{3}{2},x^2)x\}$$