2.972   ODE No. 972

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

\[ y'(x)=\frac {x \left (-2 x^4+2 x^2 y(x)-x^2+1\right )}{y(x)-x^2} \] Mathematica : cpu = 0.0387993 (sec), leaf count = 32

\[\left \{\left \{y(x)\to x^2+\frac {1}{2} \left (1+W\left (-e^{x^4-2 x^2-1+c_1}\right )\right )\right \}\right \}\] Maple : cpu = 0.223 (sec), leaf count = 27

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