2.737   ODE No. 737

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

\[ y'(x)=\frac {x \left (2 x^3-2 x y(x)+x-1\right )}{x^2-y(x)} \] Mathematica : cpu = 0.0410636 (sec), leaf count = 36

\[\left \{\left \{y(x)\to x^2+\frac {1}{2} \left (1+W\left (-e^{\frac {4 x^3}{3}-2 x^2-1+c_1}\right )\right )\right \}\right \}\] Maple : cpu = 0.313 (sec), leaf count = 29

\[\left \{y \left (x \right ) = x^{2}+\frac {\LambertW \left (-2 c_{1} {\mathrm e}^{-1} {\mathrm e}^{-2 x^{2}} {\mathrm e}^{\frac {4 x^{3}}{3}}\right )}{2}+\frac {1}{2}\right \}\]