4.351   ODE No. 1351

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)=-\frac{(2x^2+1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{x^3}+\frac{y\left(x\right)}{x^4}=0}}$$

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

Mathematica: cpu = 0.024003 (sec), leaf count = 50 $$\left\{\{y(x)\to c_1{e}^{\frac{1}{2x^2}}-\sqrt{\frac{\pi }{2}}{c}_2{e}^{\frac{1}{2x^2}}\text{erf}\left(\frac{1}{\sqrt{2}x}\right)\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 30 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\frac{1}{2x^2}}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{\frac{1}{2x^2}}\mathit{E}\mathit{r}\mathit{f}\left(\frac{\sqrt{2}}{2x}\right)\}$$