4.102   ODE No. 1102

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

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

Mathematica: cpu = 0.006001 (sec), leaf count = 42 $$\left\{\{y(x)\to \frac{c_1\text{Ai}(-\frac{ax}{(-a{)}^{2/3}})}{x}+\frac{c_2\text{Bi}(-\frac{ax}{(-a{)}^{2/3}})}{x}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 35 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathit{J}}_{\frac{1}{3}}\left(\frac{2}{3}\sqrt{a}{x}^{\frac{3}{2}}\right)\frac{1}{\sqrt{x}}+\mathit{\_}\mathit{C}\mathit{2}{\mathit{Y}}_{\frac{1}{3}}\left(\frac{2}{3}\sqrt{a}{x}^{\frac{3}{2}}\right)\frac{1}{\sqrt{x}}\}$$