2.757   ODE No. 757

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

\[ y'(x)=\frac {x^3+2 x^2-4 x y(x)-4 x-8}{2 x^2-8 y(x)+4 x-8} \] Mathematica : cpu = 0.0428142 (sec), leaf count = 36

\[\left \{\left \{y(x)\to \frac {1}{4} \left (x^2+2 x-4\right )+2 \left (1+W\left (-e^{-\frac {x}{4}-1+c_1}\right )\right )\right \}\right \}\] Maple : cpu = 0.1 (sec), leaf count = 26

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