2.1124   ODE No. 1124

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

$$-2(x^2-a)y^{\prime }(x)+2nxy(x)+x{y}^{″}(x)=0$$ ✓ Mathematica : cpu = 0.0897926 (sec), leaf count = 65

$$\left\{\{y(x)\to c_1{}_1{F}_1(-\frac{n}{2};a+\frac{1}{2};x^2)+i^{1-2a}{c}_2{x}^{1-2a}{}_1{F}_1(-a-\frac{n}{2}+\frac{1}{2};\frac{3}{2}-a;x^2)\}\right\}$$

✓ Maple : cpu = 0.09 (sec), leaf count = 29

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\mathit{M}(-\frac{n}{2},\frac{1}{2}+a,x^2)+\mathit{\_}\mathit{C}\mathit{2}\mathit{U}(-\frac{n}{2},\frac{1}{2}+a,x^2)\}$$