2.771   ODE No. 771

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

$$y^{\prime }(x)=\frac{-a^2{x}^3-2ab{x}^2-4axy(x)-4ax+8}{2a{x}^2+4bx+8y(x)+8}$$ ✓ Mathematica : cpu = 0.0307011 (sec), leaf count = 46

$$\left\{\{y(x)\to \frac{1}{4}(-a{x}^2-2bx-4)-\frac{2(1+W(-e^{-\frac{b^{2}x}{4}-1+c_1}))}{b}\}\right\}$$ ✓ Maple : cpu = 0.472 (sec), leaf count = 84

$$\{y\left(x\right)=\frac{1}{4b}(-a{x}^{2}b-2b^{2}x-4b+4{\mathrm{e}}^{1/4\frac{1}{a}(-4\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}(-1/2{\mathrm{e}}^{-1/4b^{2}x}{\mathrm{e}}^{-1/2\frac{\mathit{\_}\mathit{C}\mathit{1}{b}^2}{a}}{\mathrm{e}}^{-b/2}{\mathrm{e}}^{-1})a+(-b^{2}x-2b-4)a-2\mathit{\_}\mathit{C}\mathit{1}{b}^2)}-8)\}$$