2.476   ODE No. 476

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

\[ 4 x^3 y'(x)-4 x^2 y(x)+9 y(x) y'(x)^2=0 \] Mathematica : cpu = 3599.93 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.304 (sec), leaf count = 87

\[ \left \{ y \left ( x \right ) =-{\frac {i}{3}}{x}^{2},y \left ( x \right ) ={\frac {i}{3}}{x}^{2},y \left ( x \right ) =-{\frac {1}{6}\sqrt {-4\,{x}^{2}{\it \_C1}+{{\it \_C1}}^{2}}},y \left ( x \right ) ={\frac {1}{6}\sqrt {-4\,{x}^{2}{\it \_C1}+{{\it \_C1}}^{2}}},y \left ( x \right ) =-2\,{\frac {\sqrt {{x}^{2}{\it \_C1}+9}}{{\it \_C1}}},y \left ( x \right ) =2\,{\frac {\sqrt {{x}^{2}{\it \_C1}+9}}{{\it \_C1}}} \right \} \]