2.1133   ODE No. 1133

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

$$-(3x-4)y^{\prime }(x)+(2x-1)y^{″}(x)+(x-3)y(x)=0$$ ✓ Mathematica : cpu = 0.0555587 (sec), leaf count = 52

$$\left\{\{y(x)\to 2^{5/8}{c}_1{e}^{x-\frac{1}{2}}-\frac{c_2{e}^{x-\frac{1}{2}}\mathrm{\Gamma }(-\frac{1}{4},\frac{1}{4}(2x-1))}{4\sqrt[8]{2}}\}\right\}$$ ✓ Maple : cpu = 0.272 (sec), leaf count = 37

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