3.761   ODE No. 761

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

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

Mathematica: cpu = 0.027504 (sec), leaf count = 33 $$\left\{\{y(x)\to W(-e^{c_1-x-1})+\frac{1}{4}(-x^2+4x-4)+1\}\right\}$$

Maple: cpu = 0.062 (sec), leaf count = 18 $$\{y\left(x\right)=-\frac{x^2}{4}+\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}\left(\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\mathrm{e}}^x}\right)+x\}$$