2.800   ODE No. 800

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

\[ y'(x)=\frac {-b^3+6 b^2 x-12 b x^2-4 b y(x)^2+8 x^3+8 y(x)^3+8 x y(x)^2}{(2 x-b)^3} \] Mathematica : cpu = 1.20698 (sec), leaf count = 118

\[\text {Solve}\left [57 \text {RootSum}\left [-19 \text {$\#$1}^3+6 \sqrt [3]{38} \text {$\#$1}-19\& ,\frac {\log \left (\frac {b-6 y(x)-2 x}{\sqrt [3]{38} \sqrt [3]{\frac {1}{(b-2 x)^6}} (b-2 x)^3}-\text {$\#$1}\right )}{2 \sqrt [3]{38}-19 \text {$\#$1}^2}\& \right ]+38^{2/3} \left (\frac {1}{(b-2 x)^6}\right )^{2/3} (b-2 x)^4 \log (b-2 x)+9 c_1=0,y(x)\right ]\]

Maple : cpu = 0.03 (sec), leaf count = 41

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