ODE No. 710

$$y^{\prime }(x)=\frac{2x^3+4x^{2}y(x)+2xy(x{)}^2+2x+e^{\frac{1}{x}}-\log (x)}{\log (x)-e^{\frac{1}{x}}}$$ ✓ Mathematica : cpu = 1.13319 (sec), leaf count = 38

DSolve[Derivative[1][y][x] == (E^x^(-1) + 2*x + 2*x^3 - Log[x] + 4*x^2*y[x] + 2*x*y[x]^2)/(-E^x^(-1) + Log[x]),y[x],x]
 

$$\left\{\{y(x)\to -x+\tan ({\int }_1^x-\frac{2K[5]}{e^{\frac{1}{K[5]}}-\log (K[5])}dK[5]+c_1)\}\right\}$$ ✓ Maple : cpu = 3.249 (sec), leaf count = 31

dsolve(diff(y(x),x) = (-ln(x)+exp(1/x)+4*x^2*y(x)+2*x+2*x*y(x)^2+2*x^3)/(ln(x)-exp(1/x)),y(x))
 

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