2.1291   ODE No. 1291

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

$$48(x-1)x{y}^{″}(x)+(152x-40)y^{\prime }(x)+53y(x)=0$$ ✓ Mathematica : cpu = 0.0696224 (sec), leaf count = 92

$$\left\{\{y(x)\to c_1{}_2{F}_1(\frac{13}{12}-\frac{\sqrt{\frac{5}{2}}}{6},\frac{13}{12}+\frac{\sqrt{\frac{5}{2}}}{6};\frac{5}{6};x)+\sqrt[6]{-1}{c}_2\sqrt[6]{x}{}_2{F}_1(\frac{5}{4}-\frac{\sqrt{\frac{5}{2}}}{6},\frac{5}{4}+\frac{\sqrt{\frac{5}{2}}}{6};\frac{7}{6};x)\}\right\}$$

✓ Maple : cpu = 0.072 (sec), leaf count = 62

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{}_2\text{F}{}_1(\frac{13}{12}-\frac{\sqrt{2}\sqrt{5}}{12},\frac{13}{12}+\frac{\sqrt{2}\sqrt{5}}{12};\frac{5}{6};x)+\mathit{\_}\mathit{C}\mathit{2}\sqrt[6]{x}{}_2\text{F}{}_1(\frac{5}{4}-\frac{\sqrt{2}\sqrt{5}}{12},\frac{5}{4}+\frac{\sqrt{2}\sqrt{5}}{12};\frac{7}{6};x)\}$$