4.160   ODE No. 1160

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

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

Mathematica: cpu = 0.008501 (sec), leaf count = 30 $$\left\{\{y(x)\to c_2\sin (\sqrt{a}\log (x))+c_1\cos (\sqrt{a}\log (x))\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 23 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sin (\sqrt{a}\ln \left(x\right))+\mathit{\_}\mathit{C}\mathit{2}\cos (\sqrt{a}\ln \left(x\right))\}$$