2.1242   ODE No. 1242

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

$$(x^2-1)y^{″}(x)-(x^2-x)y(x)-(3x+1)y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.221168 (sec), leaf count = 68

$$\left\{\{y(x)\to c_1{e}^{-x}(x+1{)}^2-c_2{e}^{-x-2}(x^2(-\text{Ei}(2(x+1)))-2x\text{Ei}(2(x+1))-\text{Ei}(2(x+1))+2e^{2x+2})\}\right\}$$ ✓ Maple : cpu = 0.082 (sec), leaf count = 41

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-x-2}{(1+x)}^2\mathit{E}\mathit{i}(1,-2x-2)+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-x}{(1+x)}^2+2{\mathrm{e}}^x\mathit{\_}\mathit{C}\mathit{2}\}$$