3.689   ODE No. 689

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{xy\left(x\right)-y\left(x\right)-{\mathrm{e}}^{1+x}{x}^3+{\mathrm{e}}^{1+x}x{\left(y\left(x\right)\right)}^2}{x(x-1)}=0}}$$

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

Mathematica: cpu = 0.075010 (sec), leaf count = 60 $$\left\{\{y(x)\to -\frac{x(e^{2c_1+2e^2\text{Ei}(x-1)+2e^{x+1}}-1)}{e^{2c_1+2e^2\text{Ei}(x-1)+2e^{x+1}}+1}\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 25 $$\{y\left(x\right)=-\tanh ({\mathrm{e}}^{1+x}-{\mathrm{e}}^2\mathit{E}\mathit{i}(1,1-x)+\mathit{\_}\mathit{C}\mathit{1})x\}$$