2.1292   ODE No. 1292

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

$$25(2x-1)y^{\prime }(x)+50(x-1)x{y}^{″}(x)-2y(x)=0$$ ✓ Mathematica : cpu = 0.0388773 (sec), leaf count = 42

$$\left\{\{y(x)\to c_2\sin (\frac{2}{5}{\sin }^{-1}\left(\sqrt{1-x}\right))+c_1\cos (\frac{2}{5}{\sin }^{-1}\left(\sqrt{1-x}\right))\}\right\}$$ ✓ Maple : cpu = 0.132 (sec), leaf count = 31

$$\{y\left(x\right)=(\mathit{\_}\mathit{C}\mathit{1}{(\sqrt{x}+\sqrt{x-1})}^{\frac{4}{5}}+\mathit{\_}\mathit{C}\mathit{2}){(\sqrt{x}+\sqrt{x-1})}^{-\frac{2}{5}}\}$$