4.132   ODE No. 1132

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

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

Mathematica: cpu = 0.010501 (sec), leaf count = 48 $$\left\{\{y(x)\to c_1\sqrt{x}U(\frac{1-a}{2},\frac{3}{2},x)+c_2\sqrt{x}{L}_{\frac{a-1}{2}}^{\frac{1}{2}}(x)\}\right\}$$

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