2.1161   ODE No. 1161

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

$$-(a+x)y(x)+x^2{y}^{″}(x)+x{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0486254 (sec), leaf count = 78

$$\left\{\{y(x)\to (-1{)}^{-\sqrt{a}}{c}_1\mathrm{\Gamma }(1-2\sqrt{a})I_{-2\sqrt{a}}\left(2\sqrt{x}\right)+(-1{)}^{\sqrt{a}}{c}_2\mathrm{\Gamma }(2\sqrt{a}+1)I_{2\sqrt{a}}\left(2\sqrt{x}\right)\}\right\}$$

✓ Maple : cpu = 0.011 (sec), leaf count = 31

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathit{I}}_{2\sqrt{a}}\left(2\sqrt{x}\right)+\mathit{\_}\mathit{C}\mathit{2}{\mathit{K}}_{2\sqrt{a}}\left(2\sqrt{x}\right)\}$$