2.1192   ODE No. 1192

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

$$x^2{y}^{″}(x)+(x^2-1)y^{\prime }(x)-y(x)=0$$ ✓ Mathematica : cpu = 10.839 (sec), leaf count = 39

$$\left\{\{y(x)\to c_2{e}^{-x}{\int }_1^x{e}^{K[1]-\frac{1}{K[1]}}dK[1]+c_1{e}^{-x}\}\right\}$$

✓ Maple : cpu = 0.137 (sec), leaf count = 53

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-x}\mathit{H}\mathit{e}\mathit{u}\mathit{n}\mathit{D}(4,3,-8,5,\frac{x-1}{1+x})\sqrt{x}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-x^{-1}}\mathit{H}\mathit{e}\mathit{u}\mathit{n}\mathit{D}(-4,3,-8,5,\frac{x-1}{1+x})\sqrt{x}\}$$