2.944   ODE No. 944

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

\[ y'(x)=\frac {a^3 x^6+6 a^2 b x^5+12 a^2 x^4 y(x)-8 a^2 x^3+12 a b^2 x^4+48 a b x^3 y(x)-16 a b x^2+48 a x^2 y(x)^2-32 a x y(x)-32 a x+8 b^3 x^3+48 b^2 x^2 y(x)+96 b x y(x)^2+64 y(x)^3}{16 a x^2+32 b x+64 y(x)+64} \] Mathematica : cpu = 1.91953 (sec), leaf count = 1

\[\{\}\]

Maple : cpu = 0.091 (sec), leaf count = 47

\[ \left \{ y \left ( x \right ) =-{\frac {a{x}^{2}}{4}}-{\frac {bx}{2}}+{\it RootOf} \left ( bx+2\,\int ^{{\it \_Z}}\!-{\frac {b \left ( {\it \_a}+1 \right ) }{2\,{{\it \_a}}^{3}+{\it \_a}\,b+b}}{d{\it \_a}}+2\,{\it \_C1} \right ) \right \} \]