2.1048   ODE No. 1048

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

$$(2n+3x^2-1)y(x)+y^{″}(x)-4x{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0115581 (sec), leaf count = 45

$$\left\{\{y(x)\to c_1{e}^{\frac{x^2}{2}}{H}_n(x)+c_2{e}^{\frac{x^2}{2}}{}_1{F}_1(-\frac{n}{2};\frac{1}{2};x^2)\}\right\}$$

✓ Maple : cpu = 0.071 (sec), leaf count = 43

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\frac{x^2}{2}}\mathit{M}(-\frac{n}{2}+\frac{1}{2},\frac{3}{2},x^2)x+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{\frac{x^2}{2}}\mathit{U}(-\frac{n}{2}+\frac{1}{2},\frac{3}{2},x^2)x\}$$