\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) = \left ( -\ln \left ( y \left ( x \right ) \right ) +1+{x}^{2}+{x}^{3} \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.075510 (sec), leaf count = 29 \[ \left \{\left \{y(x)\to e^{-c_1 e^{-x}+x^3-2 x^2+4 x-3}\right \}\right \} \]
Maple: cpu = 0.156 (sec), leaf count = 24 \[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {{\it \_C1}}{{{\rm e}^{x }}}}+{x}^{3}-2\,{x}^{2}+4\,x-3}} \right \} \]