\[ y'(x)=\frac {2 x^3+4 x^2 y(x)+2 x y(x)^2+2 x+e^{\frac {1}{x}}-\log (x)}{\log (x)-e^{\frac {1}{x}}} \] ✓ Mathematica : cpu = 1.13319 (sec), leaf count = 38
\[\left \{\left \{y(x)\to -x+\tan \left (\int _1^x-\frac {2 K[5]}{e^{\frac {1}{K[5]}}-\log (K[5])}dK[5]+c_1\right )\right \}\right \}\] ✓ Maple : cpu = 3.249 (sec), leaf count = 31
\[y \relax (x ) = -x +\tan \left (2 c_{1}-2 \left (\int -\frac {x}{\ln \relax (x )-{\mathrm e}^{\frac {1}{x}}}d x \right )\right )\]