2.1115   ODE No. 1115

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

$$x{y}^{″}(x)-(3x-2)y^{\prime }(x)-(2x-3)y(x)=0$$ ✓ Mathematica : cpu = 0.0631802 (sec), leaf count = 76

$$\left\{\{y(x)\to c_2{e}^{-\frac{1}{2}(\sqrt{17}-3)x}{}_1{F}_1(1-\frac{6}{\sqrt{17}};2;\sqrt{17}x)+c_1{e}^{-\frac{1}{2}(\sqrt{17}-3)x}U(1-\frac{6}{\sqrt{17}},2,\sqrt{17}x)\}\right\}$$

✓ Maple : cpu = 0.099 (sec), leaf count = 55

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\mathit{M}(1-\frac{6\sqrt{17}}{17},2,\sqrt{17}x){\mathrm{e}}^{-\frac{x(-3+\sqrt{17})}{2}}+\mathit{\_}\mathit{C}\mathit{2}\mathit{U}(1-\frac{6\sqrt{17}}{17},2,\sqrt{17}x){\mathrm{e}}^{-\frac{x(-3+\sqrt{17})}{2}}\}$$