4.404   ODE No. 1404

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)=-\frac{(2x^2+1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{x^3}-1/4\frac{(-2x^2+1)y\left(x\right)}{x^6}=0}}$$

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

Mathematica: cpu = 0.023003 (sec), leaf count = 33 $$\left\{\{y(x)\to \frac{c_1{e}^{\frac{1}{4x^2}}}{x}+c_2{e}^{\frac{1}{4x^2}}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 24 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\frac{1}{4x^2}}+\frac{\mathit{\_}\mathit{C}\mathit{2}}{x}{\mathrm{e}}^{\frac{1}{4x^2}}\}$$