\[ y'(x)=\frac {y(x) \left (x^3-x \log (y(x))-\log (y(x))\right )}{x+1} \] ✓ Mathematica : cpu = 0.245322 (sec), leaf count = 37
DSolve[Derivative[1][y][x] == ((x^3 - Log[y[x]] - x*Log[y[x]])*y[x])/(1 + x),y[x],x]
\[\left \{\left \{y(x)\to \exp \left (-e^{-x-1} \text {Ei}(x+1)+x^2-3 x-c_1 e^{-x}+4\right )\right \}\right \}\] ✓ Maple : cpu = 0.314 (sec), leaf count = 39
dsolve(diff(y(x),x) = (-ln(y(x))*x-ln(y(x))+x^3)*y(x)/(1+x),y(x))
\[y \left (x \right ) = {\mathrm e}^{x^{2}} {\mathrm e}^{-3 x} {\mathrm e}^{4} {\mathrm e}^{{\mathrm e}^{-x} c_{1}} {\mathrm e}^{{\mathrm e}^{-1} \Ei \left (1, -1-x \right ) {\mathrm e}^{-x}}\]