2.1171   ODE No. 1171

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

$$y(x)(ax+l{x}^2-n(n+1))+x^2{y}^{″}(x)+2x{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0407312 (sec), leaf count = 142

$$\left\{\{y(x)\to c_1{e}^{n\log (x)-i\sqrt{l}x}U(\frac{i(a-2i\sqrt{l}n-2i\sqrt{l})}{2\sqrt{l}},2n+2,2i\sqrt{l}x)+c_2{e}^{n\log (x)-i\sqrt{l}x}{L}_{-\frac{i(a-2i\sqrt{l}n-2i\sqrt{l})}{2\sqrt{l}}}^{2n+1}\left(2i\sqrt{l}x\right)\}\right\}$$ ✓ Maple : cpu = 0.363 (sec), leaf count = 49

$$\{y\left(x\right)=\frac{1}{x}(\mathit{\_}\mathit{C}\mathit{1}{\mathit{M}}_{-\frac{i}{2}a\frac{1}{\sqrt{l}},n+\frac{1}{2}}\left(2i\sqrt{l}x\right)+\mathit{\_}\mathit{C}\mathit{2}{\mathit{W}}_{-\frac{i}{2}a\frac{1}{\sqrt{l}},n+\frac{1}{2}}\left(2i\sqrt{l}x\right))\}$$