ODE No. 767

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

\[ y'(x)=\frac {-x^3+2 x^2-8 x y(x)-8 x+32}{4 x^2+32 y(x)-8 x+32} \] Mathematica : cpu = 0.0268262 (sec), leaf count = 38

\[\left \{\left \{y(x)\to 4 \left (W\left (-e^{c_1-\frac {x}{16}-1}\right )+1\right )+\frac {1}{8} \left (-x^2+2 x-8\right )\right \}\right \}\] Maple : cpu = 0.078 (sec), leaf count = 26

\[ \left \{ y \left ( x \right ) =-{\frac {{x}^{2}}{8}}+4\,{\it lambertW} \left ( 1/4\,{\it \_C1}\,{{\rm e}^{-x/16}}{{\rm e}^{-3/4}} \right ) +{\frac {x}{4}}+3 \right \} \]