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 = 0.0295588 (sec), leaf count = 36

\[\left \{\left \{y(x)\to \frac {1}{2} \left (W\left (-e^{c_1+\frac {4 x^3}{3}-2 x^2-1}\right )+1\right )+x^2\right \}\right \}\] Maple : cpu = 0.093 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) ={x}^{2}+{\frac {1}{2}{\it lambertW} \left ( -2\,{\frac {{{\rm e}^{4/3\,{x}^{3}}}{\it \_C1}\,{{\rm e}^{-1}}}{ \left ( {{\rm e}^{{x}^{2}}} \right ) ^{2}}} \right ) }+{\frac {1}{2}} \right \} \]