\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {-\ln \left ( x \right ) +{{\rm e}^{{x}^{-1}}}+4\,{x}^{2}y \left ( x \right ) +2\,x+2\,x \left ( y \left ( x \right ) \right ) ^{2}+2\,{x}^{3}}{\ln \left ( x \right ) -{{\rm e}^{{x}^{-1}}}}}=0} \]
Mathematica: cpu = 1910.257572 (sec), leaf count = 37 \[ \left \{\left \{y(x)\to \tan \left (\int _1^x -\frac {2 K[5]}{e^{\frac {1}{K[5]}}-\log (K[5])} \, dK[5]+c_1\right )-x\right \}\right \} \]
Maple: cpu = 1.685 (sec), leaf count = 35 \[ \left \{ y \left ( x \right ) =-x+\tan \left ( 2\,{\it \_C1}-2\,\int \! \left ( -{\frac {\ln \left ( x \right ) }{x}}+{\frac {{{\rm e}^{{x}^{-1 }}}}{x}} \right ) ^{-1}\,{\rm d}x \right ) \right \} \]