4.164   ODE No. 1164

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

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

Mathematica: cpu = 0.028004 (sec), leaf count = 30 $$\left\{\{y(x)\to c_1{J}_v\left(\sqrt{l}x\right)+c_2{Y}_v\left(\sqrt{l}x\right)\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 23 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathit{J}}_v\left(\sqrt{l}x\right)+\mathit{\_}\mathit{C}\mathit{2}{\mathit{Y}}_v\left(\sqrt{l}x\right)\}$$