2.217   ODE No. 217

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

\[ \left (y(x)-x^2\right ) y'(x)-x=0 \] Mathematica : cpu = 0.028449 (sec), leaf count = 29

\[\left \{\left \{y(x)\to x^2+\frac {1}{2} \left (1+W\left (-e^{-2 x^2-1+c_1}\right )\right )\right \}\right \}\] Maple : cpu = 0.036 (sec), leaf count = 23

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