3.774   ODE No. 774

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{-4xy\left(x\right)-x^3-2a{x}^2-4x+8}{8y\left(x\right)+2x^2+4ax+8}=0}}$$

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

Mathematica: cpu = 0.027003 (sec), leaf count = 45 $$\left\{\{y(x)\to \frac{1}{4}(-2ax-x^2-4)-\frac{2(W(-e^{-\frac{a^{2}x}{4}+c_1-1})+1)}{a}\}\right\}$$

Maple: cpu = 0.078 (sec), leaf count = 50 $$\{y\left(x\right)=-\frac{1}{4a}(2a^{2}x+a{x}^2+8\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}(-1/2{\mathrm{e}}^{-1/4a^{2}x}{\mathrm{e}}^{-a/2}{\mathrm{e}}^{-1}{\mathrm{e}}^{1/4\mathit{\_}\mathit{C}\mathit{1}{a}^2})+4a+8)\}$$