4.292   ODE No. 1292

$$\boxed{{\displaystyle 50x(x-1)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+25(2x-1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-2y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.041505 (sec), leaf count = 53 $$\left\{\{y(x)\to c_1\cosh (\frac{2}{5}\log (\sqrt{x-1}+\sqrt{x}))+i{c}_2\sinh (\frac{2}{5}\log (\sqrt{x-1}+\sqrt{x}))\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 31 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{(\sqrt{x}+\sqrt{x-1})}^{\frac{2}{5}}+\mathit{\_}\mathit{C}\mathit{2}{(\sqrt{x}+\sqrt{x-1})}^{-\frac{2}{5}}\}$$