2.470   ODE No. 470

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

\[ x^3 y'(x)-x^2 y(x)+y(x) y'(x)^2=0 \] Mathematica : cpu = 299.999 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.925 (sec), leaf count = 87

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