2.1282   ODE No. 1282

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

$$4x^3{y}^{\prime }(x)+4x^2{y}^{″}(x)+(x^2-4)(x^2+6)y(x)=0$$ ✓ Mathematica : cpu = 0.0181674 (sec), leaf count = 39

$$\left\{\{y(x)\to \frac{1}{5}{c}_2{e}^{-\frac{x^2}{4}}{x}^3+\frac{c_1{e}^{-\frac{x^2}{4}}}{x^2}\}\right\}$$ ✓ Maple : cpu = 0.066 (sec), leaf count = 21

$$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{2}{x}^5+\mathit{\_}\mathit{C}\mathit{1}}{x^2}{\mathrm{e}}^{-\frac{x^2}{4}}\}$$