2.1133   ODE No. 1133

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

$$(2x-1)y^{″}(x)-(3x-4)y^{\prime }(x)+(x-3)y(x)=0$$ ✓ Mathematica : cpu = 0.0905852 (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 = 0.113 (sec), leaf count = 47

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\frac{x}{2}}\mathit{M}(1,\frac{3}{4},\frac{x}{2}-\frac{1}{4})\frac{1}{\sqrt[4]{2x-1}}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{\frac{x}{2}}\mathit{U}(1,\frac{3}{4},\frac{x}{2}-\frac{1}{4})\frac{1}{\sqrt[4]{2x-1}}\}$$