2.636   ODE No. 636

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

\[ y'(x)=y(x) \left (x^2-\log (y(x))\right ) \] Mathematica : cpu = 0.103506 (sec), leaf count = 24

\[\left \{\left \{y(x)\to e^{x^2-2 x-2 c_1 e^{-x}+2}\right \}\right \}\] Maple : cpu = 0.793 (sec), leaf count = 19

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