2.1265   ODE No. 1265

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

$$(x-2)(x-1)y^{″}(x)-(2x-3)y^{\prime }(x)+y(x)=0$$ ✓ Mathematica : cpu = 0.0421221 (sec), leaf count = 64

$$\left\{\{y(x)\to c_1(x^2-3x+2)P_{\frac{1}{2}(-1+\sqrt{5})}^2(2x-3)+c_2(x^2-3x+2)Q_{\frac{1}{2}(-1+\sqrt{5})}^2(2x-3)\}\right\}$$

✓ Maple : cpu = 0.236 (sec), leaf count = 97

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{}_2\text{F}{}_1(\frac{1}{2}-\frac{\sqrt{5}}{2},\frac{5}{2}-\frac{\sqrt{5}}{2};-\sqrt{5}+1;{(x-1)}^{-1}){(x-2)}^2{(x-1)}^{\frac{\sqrt{5}}{2}-\frac{1}{2}}+\mathit{\_}\mathit{C}\mathit{2}{}_2\text{F}{}_1(\frac{1}{2}+\frac{\sqrt{5}}{2},\frac{5}{2}+\frac{\sqrt{5}}{2};\sqrt{5}+1;{(x-1)}^{-1}){(x-2)}^2{(x-1)}^{-\frac{1}{2}-\frac{\sqrt{5}}{2}}\}$$