4.294   ODE No. 1294

$$\boxed{{\displaystyle 144x(x-1)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+(168x-96)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.070009 (sec), leaf count = 44 $$\left\{\{y(x)\to c_1{}_2{F}_1(\frac{1}{12},\frac{1}{12};\frac{2}{3};x)+\sqrt[3]{-1}{c}_2\sqrt[3]{x}{}_2{F}_1(\frac{5}{12},\frac{5}{12};\frac{4}{3};x)\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 35 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sqrt[6]{x}\mathit{L}\mathit{e}\mathit{g}\mathit{e}\mathit{n}\mathit{d}\mathit{r}\mathit{e}\mathit{P}(-\frac{1}{2},\frac{1}{3},\sqrt{1-x})+\mathit{\_}\mathit{C}\mathit{2}\sqrt[6]{x}\mathit{L}\mathit{e}\mathit{g}\mathit{e}\mathit{n}\mathit{d}\mathit{r}\mathit{e}\mathit{Q}(-\frac{1}{2},\frac{1}{3},\sqrt{1-x})\}$$