2.1208   ODE No. 1208

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

$$x^3{y}^{\prime }(x)+x^2{y}^{″}(x)+(x^2-2)y(x)=0$$ ✓ Mathematica : cpu = 0.0402828 (sec), leaf count = 59

$$\left\{\{y(x)\to \frac{c_2{e}^{-\frac{x^2}{2}}(\sqrt{2\pi }{e}^{\frac{x^2}{2}}\text{erf}\left(\frac{x}{\sqrt{2}}\right)-2x)}{2x}+\frac{c_1}{x}\}\right\}$$

✓ Maple : cpu = 0.044 (sec), leaf count = 39

$$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{x}+\frac{\mathit{\_}\mathit{C}\mathit{2}}{x}(\sqrt{\pi }\sqrt{2}\mathit{E}\mathit{r}\mathit{f}\left(\frac{\sqrt{2}x}{2}\right)-2x{\mathrm{e}}^{-1/2x^2})\}$$