2.1378   ODE No. 1378

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

$$y^{″}(x)=-\frac{2(x^2-1)y^{\prime }(x)}{(x-1{)}^{2}x}-\frac{(-2x^2+2x+2)y(x)}{(x-1{)}^2{x}^2}$$ ✓ Mathematica : cpu = 0.0383291 (sec), leaf count = 65

$$\left\{\{y(x)\to \frac{c_1{x}^2}{1-x}+\frac{c_{2}x(2x^2\log (1-x)-2x^2\log (x)+2x-2x\log (1-x)+2x\log (x)-1)}{(x-1{)}^2}\}\right\}$$ ✓ Maple : cpu = 0.06 (sec), leaf count = 48

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