2.710   ODE No. 710

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

$$y^{\prime }(x)=\frac{2x^3+4x^{2}y(x)+2xy(x{)}^2+2x+e^{\frac{1}{x}}-\log (x)}{\log (x)-e^{\frac{1}{x}}}$$ ✓ Mathematica : cpu = 1.32028 (sec), leaf count = 38

$$\left\{\{y(x)\to -x+\tan ({\int }_1^x-\frac{2K[5]}{e^{\frac{1}{K[5]}}-\log (K[5])}dK[5]+c_1)\}\right\}$$ ✓ Maple : cpu = 3.191 (sec), leaf count = 31

$$\{y\left(x\right)=-x+\tan (2c_1-2(\int -\frac{x}{-{\mathrm{e}}^{\frac{1}{x}}+\ln \left(x\right)}dx))\}$$