4.133   ODE No. 1133

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

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

Mathematica: cpu = 0.091011 (sec), leaf count = 92 $$\left\{\{y(x)\to 2^{5/8}{c}_1{e}^{x-\frac{1}{2}}+\frac{c_2{e}^{\frac{x}{2}-\frac{1}{2}}(\sqrt{2}{e}^{x/2}\sqrt[4]{2x-1}\mathrm{\Gamma }(\frac{3}{4},\frac{1}{4}(2x-1))-2\sqrt[4]{e})}{2^{5/8}\sqrt[4]{2x-1}}\}\right\}$$

Maple: cpu = 0.078 (sec), leaf count = 47 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\frac{x}{2}}\mathit{M}(1,\frac{3}{4},\frac{x}{2}-\frac{1}{4})\frac{1}{\sqrt[4]{2x-1}}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{\frac{x}{2}}\mathit{U}(1,\frac{3}{4},\frac{x}{2}-\frac{1}{4})\frac{1}{\sqrt[4]{2x-1}}\}$$