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 = 0.0184409 (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 = 0.028 (sec), leaf count = 23

\[ \left \{ y \left ( x \right ) ={x}^{2}+{\frac {{\it lambertW} \left ( -4\,{\it \_C1}\,{{\rm e}^{-2\,{x}^{2}-1}} \right ) }{2}}+{\frac {1}{2}} \right \} \]