4.354   ODE No. 1354

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

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

Mathematica: cpu = 0.071009 (sec), leaf count = 108 $$\left\{\{y(x)\to \frac{c_2(-5\sqrt{2\pi }{x}^2\text{erfi}\left(\frac{1}{\sqrt{2}x}\right)+\sqrt{2\pi }\text{erfi}\left(\frac{1}{\sqrt{2}x}\right)-2e^{\frac{1}{2x^2}}x+4e^{\frac{1}{2x^2}}{x}^5+8e^{\frac{1}{2x^2}}{x}^3)}{12x^2}+c_1(1-\frac{1}{5x^2})\}\right\}$$

Maple: cpu = 0.156 (sec), leaf count = 32 $$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}(5x^2-1)}{x^2}+\mathit{\_}\mathit{C}\mathit{2}{}_1\text{F}{}_1(-\frac{5}{2};-\frac{1}{2};\frac{1}{2x^2})x^3\}$$