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 = 0.140827 (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 = 0.821 (sec), leaf count = 24

\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {{\it \_C1}}{{{\rm e}^{x}}}}+{x}^{3}-2\,{x}^{2}+4\,x-3}} \right \} \]