3.771   ODE No. 771

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

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

Mathematica: cpu = 0.053007 (sec), leaf count = 46 $$\left\{\{y(x)\to \frac{1}{4}(-a{x}^2-2bx-4)-\frac{2(W(-e^{-\frac{b^{2}x}{4}+c_1-1})+1)}{b}\}\right\}$$

Maple: cpu = 0.078 (sec), leaf count = 84 $$\{y\left(x\right)=\frac{1}{4b}(-a{x}^{2}b-2b^{2}x-4b+4{\mathrm{e}}^{-1/4\frac{1}{a}(a{b}^{2}x+2\mathit{\_}\mathit{C}\mathit{1}{b}^2+4\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}(-1/2{\mathrm{e}}^{-1/4b^{2}x}{\mathrm{e}}^{-1/2\frac{\mathit{\_}\mathit{C}\mathit{1}{b}^2}{a}}{\mathrm{e}}^{-b/2}{\mathrm{e}}^{-1})a+2ab+4a)}-8)\}$$