4.331   ODE No. 1331

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)=1/2\frac{(x-4)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{x(x-2)}-1/2\frac{(x-3)y\left(x\right)}{x^2(x-2)}=0}}$$

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

Mathematica: cpu = 0.043006 (sec), leaf count = 55 $$\left\{\{y(x)\to \frac{c_1\sqrt[4]{x-2}\sqrt{x}}{\sqrt[4]{2-x}}+\frac{2c_2(x-2{)}^{3/4}\sqrt{x}}{\sqrt[4]{2-x}}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 19 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sqrt{x}+\mathit{\_}\mathit{C}\mathit{2}\sqrt{x(x-2)}\}$$