2.487   ODE No. 487

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

\[ -6 x^3 y'(x)+4 x^2 y(x)+y(x)^2 y'(x)^2=0 \] Mathematica : cpu = 299.999 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.417 (sec), leaf count = 100

\[ \left \{ y \left ( x \right ) ={\it RootOf} \left ( -\ln \left ( x \right ) +\int ^{{\it \_Z}}\!-{\frac {3}{4\,{\it \_a}\, \left ( 4\,{{\it \_a}}^{3}-9 \right ) } \left ( 4\,{{\it \_a}}^{3}+3\,\sqrt {-4\,{{\it \_a}}^{3}+9}-9 \right ) }{d{\it \_a}}+{\it \_C1} \right ) {x}^{{\frac {4}{3}}},y \left ( x \right ) ={\frac {\sqrt [3]{18}}{2}{x}^{{\frac {4}{3}}}},y \left ( x \right ) =-{\frac {\sqrt [3]{18} \left ( 1+i\sqrt {3} \right ) }{4}{x}^{{\frac {4}{3}}}},y \left ( x \right ) ={\frac {\sqrt [3]{18} \left ( i\sqrt {3}-1 \right ) }{4}{x}^{{\frac {4}{3}}}} \right \} \]