4.282   ODE No. 1282

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

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

Mathematica: cpu = 0.024003 (sec), leaf count = 39 $$\left\{\{y(x)\to \frac{c_1{e}^{-\frac{x^2}{4}}}{x^2}+\frac{1}{5}{c}_2{e}^{-\frac{x^2}{4}}{x}^3\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 27 $$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{x^2}{\mathrm{e}}^{-\frac{x^2}{4}}+\mathit{\_}\mathit{C}\mathit{2}{x}^3{\mathrm{e}}^{-\frac{x^2}{4}}\}$$