3.701   ODE No. 701

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

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 4.727 (sec), leaf count = 100 $$\{y\left(x\right)=1(x^2\mathit{\_}\mathit{C}\mathit{1}{\left({\mathrm{e}}^{\int {(\frac{{\mathrm{e}}^x}{\ln \left(x\right)+1}-{(\ln \left(x\right)+1)}^{-1})}^{-1}\mathrm{d}x}\right)}^{-2}-x^2+\mathit{\_}\mathit{C}\mathit{1}{\left({\mathrm{e}}^{\int {(\frac{{\mathrm{e}}^x}{\ln \left(x\right)+1}-{(\ln \left(x\right)+1)}^{-1})}^{-1}\mathrm{d}x}\right)}^{-2}+1){(\mathit{\_}\mathit{C}\mathit{1}{\left({\mathrm{e}}^{\int {(\frac{{\mathrm{e}}^x}{\ln \left(x\right)+1}-{(\ln \left(x\right)+1)}^{-1})}^{-1}\mathrm{d}x}\right)}^{-2}-1)}^{-1}\}$$