3.696   ODE No. 696

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{y\left(x\right)\ln (x-1)+{\mathrm{e}}^{1+x}{x}^3+7{\mathrm{e}}^{1+x}x{\left(y\left(x\right)\right)}^2}{\ln (x-1)x}=0}}$$

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

Mathematica: cpu = 121.909981 (sec), leaf count = 50 $$\left\{\{y(x)\to \frac{x\tan (\sqrt{7}{\int }_1^x\frac{e^{K[1]+1}K[1]}{\log (K[1]-1)}dK[1]+\sqrt{7}{c}_1)}{\sqrt{7}}\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 32 $$\{y\left(x\right)=\frac{x\sqrt{7}}{7}\tan \left((\mathrm{e}\int \frac{x{\mathrm{e}}^x}{\ln (x-1)}\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1})\sqrt{7}\right)\}$$