\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( -\ln \left ( y \left ( x \right ) \right ) x-\ln \left ( y \left ( x \right ) \right ) +{x}^{3} \right ) y \left ( x \right ) }{1+x}}=0} \]
Mathematica: cpu = 0.121515 (sec), leaf count = 37 \[ \left \{\left \{y(x)\to \exp \left (-c_1 e^{-x}-e^{-x-1} \text {Ei}(x+1)+x^2-3 x+4\right )\right \}\right \} \]
Maple: cpu = 0.125 (sec), leaf count = 39 \[ \left \{ y \left ( x \right ) ={\frac {{{\rm e}^{{x}^{2}}}{{\rm e}^{4}} }{ \left ( {{\rm e}^{x}} \right ) ^{3}}{{\rm e}^{{\frac {{\it \_C1}}{{ {\rm e}^{x}}}}}}{{\rm e}^{{\frac {{\it Ei} \left ( 1,-1-x \right ) }{{ {\rm e}^{x}}{\rm e}}}}}} \right \} \]