2.666   ODE No. 666

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

\[ y'(x)=y(x) \left (x^3+x^2-\log (y(x))+1\right ) \] Mathematica : cpu = 0.167724 (sec), leaf count = 29

\[\left \{\left \{y(x)\to e^{x^3-2 x^2+4 x-c_1 e^{-x}-3}\right \}\right \}\] Maple : cpu = 0.249 (sec), leaf count = 24

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