3.695   ODE No. 695

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{y\left(x\right)\ln (x-1)+x^4+x^3+x^2{\left(y\left(x\right)\right)}^2+x{\left(y\left(x\right)\right)}^2}{\ln (x-1)x}=0}}$$

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

Mathematica: cpu = 0.052007 (sec), leaf count = 34 $$\left\{\{y(x)\to x\tan (c_1+2\text{Ei}(\log (x-1))+3\text{Ei}(2\log (x-1))+\text{Ei}(3\log (x-1)))\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 39 $$\{y\left(x\right)=\tan (-\mathit{E}\mathit{i}(1,-3\ln (x-1))-3\mathit{E}\mathit{i}(1,-2\ln (x-1))-2\mathit{E}\mathit{i}(1,-\ln (x-1))+\mathit{\_}\mathit{C}\mathit{1})x\}$$