2.1399   ODE No. 1399

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

$$y^{″}(x)=\frac{(3x+1)y^{\prime }(x)}{(x-1)(x+1)}-\frac{36(x+1{)}^{2}y(x)}{(x-1{)}^2(3x+5{)}^2}$$ ✓ Mathematica : cpu = 0.054436 (sec), leaf count = 72

$$\left\{\{y(x)\to c_1{e}^{\frac{1}{2}(3\log (1-x)+\log (3x+5))}+\frac{1}{2}{c}_2{e}^{\frac{1}{2}(3\log (1-x)+\log (3x+5))}(3\log (1-x)+\log (3x+5))\}\right\}$$

✓ Maple : cpu = 0.085 (sec), leaf count = 46

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{(x-1)}^{\frac{3}{2}}\sqrt{3x+5}+\mathit{\_}\mathit{C}\mathit{2}{(x-1)}^{\frac{3}{2}}\sqrt{3x+5}(3\ln (x-1)+\ln (3x+5))\}$$