2.1292   ODE No. 1292

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

$$50(x-1)x{y}^{″}(x)+25(2x-1)y^{\prime }(x)-2y(x)=0$$ ✓ Mathematica : cpu = 0.0390016 (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 = 0.097 (sec), leaf count = 31

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{(\sqrt{x}+\sqrt{x-1})}^{\frac{2}{5}}+\mathit{\_}\mathit{C}\mathit{2}{(\sqrt{x}+\sqrt{x-1})}^{-\frac{2}{5}}\}$$