2.753   ODE No. 753

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y'(x)=\frac {y(x) \log (y(x)) \left (x^4 \log (y(x))+x+1\right )}{x (x+1)} \] Mathematica : cpu = 0.187137 (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 = 0.258 (sec), leaf count = 38

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