2.761   ODE No. 761

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

\[ y'(x)=\frac {-x^3+4 x^2-4 x y(x)-4 x+8}{2 x^2+8 y(x)-8 x+8} \] Mathematica : cpu = 0.0220264 (sec), leaf count = 33

\[\left \{\left \{y(x)\to W\left (-e^{-x-1+c_1}\right )+\frac {1}{4} \left (-x^2+4 x-4\right )+1\right \}\right \}\] Maple : cpu = 0.217 (sec), leaf count = 18

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