2.1361   ODE No. 1361

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

$$y^{″}(x)=\frac{2x{y}^{\prime }(x)}{x^2-1}-\frac{(a(a+1)-a(a+3)x^2)y(x)}{x^2(x^2-1)}$$ ✓ Mathematica : cpu = 0.377332 (sec), leaf count = 38

$$\left\{\{y(x)\to c_1{x}^{-a}+c_2(-2a{x}^2+2a-x^2+3)x^{a+1}\}\right\}$$ ✓ Maple : cpu = 0.049 (sec), leaf count = 33

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