2.535   ODE No. 535

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

\[ 8 x y'(x)^3-12 y(x) y'(x)^2+9 y(x)=0 \] Mathematica : cpu = 300. (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.052 (sec), leaf count = 80

\[ \left \{ y \left ( x \right ) =0,y \left ( x \right ) ={\frac {x}{{{\it \_C1}}^{3}} \left ( {\it \_C1}\, \left ( 3\,{\it \_C1}+x \right ) \right ) ^{{\frac {3}{2}}} \left ( -3\,{\frac {3\,{\it \_C1}+x}{{\it \_C1}}}+9 \right ) ^{-1}},y \left ( x \right ) =-{\frac {3\,x}{2}},y \left ( x \right ) ={\frac {3\,x}{2}},y \left ( x \right ) =-{\frac {x}{{{\it \_C1}}^{3}} \left ( {\it \_C1}\, \left ( 3\,{\it \_C1}+x \right ) \right ) ^{{\frac {3}{2}}} \left ( -3\,{\frac {3\,{\it \_C1}+x}{{\it \_C1}}}+9 \right ) ^{-1}} \right \} \]