2.869   ODE No. 869

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

\[ y'(x)=\frac {2 x^5+2 x^4-2 x^3 y(x)+x^3-2 x^2 y(x)+3 x^2-2 y(x)-x+1}{x^2-y(x)} \] Mathematica : cpu = 0.0525664 (sec), leaf count = 42

\[\left \{\left \{y(x)\to x^2+\frac {1}{2} \left (1+W\left (-e^{x^4+\frac {4 x^3}{3}-2 x^2+4 x-1+c_1}\right )\right )\right \}\right \}\] Maple : cpu = 0.334 (sec), leaf count = 37

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