2.45   ODE No. 45

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

\[ 2 y(x)^3 \left (a^2 x^3-b^2 x\right )+3 b y(x)^2+y'(x)=0 \] Mathematica : cpu = 300.494 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.122 (sec), leaf count = 123

\[ \left \{ {\it \_C1}+{1\sqrt [4]{ \left ( {\frac {ax}{b}}+ \left ( {\frac {{b}^{2}y \left ( x \right ) }{a}}-{\frac {b}{ax}} \right ) ^{-1} \right ) ^{2}-1} \left ( {\frac {{b}^{2}y \left ( x \right ) }{a}}-{\frac {b}{ax}} \right ) ^{-1}{\frac {1}{\sqrt {{\frac {ax}{b}}+ \left ( {\frac {{b}^{2}y \left ( x \right ) }{a}}-{\frac {b}{ax}} \right ) ^{-1}}}}}-\int ^{{\frac {a{x}^{2}y \left ( x \right ) }{bxy \left ( x \right ) -1}}}\!{1\sqrt [4]{{{\it \_a}}^{2}-1}{\frac {1}{\sqrt {{\it \_a}}}}}{d{\it \_a}}=0 \right \} \]