2.753   ODE No. 753

\[ y'(x)=\frac {y(x) \log (y(x)) \left (x^4 \log (y(x))+x+1\right )}{x (x+1)} \] Mathematica : cpu = 0.172769 (sec), leaf count = 41


\[\left \{\left \{y(x)\to \exp \left (-\frac {12 x}{3 x^4-4 x^3+6 x^2-12 x+12 \log (x+1)-12 c_1}\right )\right \}\right \}\] Maple : cpu = 0.291 (sec), leaf count = 38


\[y \relax (x ) = {\mathrm e}^{-\frac {12 x}{3 x^{4}-4 x^{3}+6 x^{2}+12 \ln \left (1+x \right )-12 c_{1}-12 x}}\]