3.702   ODE No. 702

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

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

Mathematica: cpu = 197.340559 (sec), leaf count = 36 $$\left\{\{y(x)\to x\tan ({\int }_1^x\frac{K[1](\log (K[1])+1)}{e^{K[1]}-K[1]}dK[1]+c_1)\}\right\}$$

Maple: cpu = 0.063 (sec), leaf count = 35 $$\{y\left(x\right)=\tan (\int \frac{x\ln \left(x\right)}{{\mathrm{e}}^x-x}\mathrm{d}x+\int \frac{x}{{\mathrm{e}}^x-x}\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1})x\}$$