3.710   ODE No. 710

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

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

Mathematica: cpu = 1910.257572 (sec), leaf count = 37 $$\left\{\{y(x)\to \tan ({\int }_1^x-\frac{2K[5]}{e^{\frac{1}{K[5]}}-\log (K[5])}dK[5]+c_1)-x\}\right\}$$

Maple: cpu = 1.685 (sec), leaf count = 35 $$\{y\left(x\right)=-x+\tan (2\mathit{\_}\mathit{C}\mathit{1}-2\int {(-\frac{\ln \left(x\right)}{x}+\frac{{\mathrm{e}}^{x^{-1}}}{x})}^{-1}\mathrm{d}x)\}$$