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 = 0.489692 (sec), leaf count = 128

\[\text {Solve}\left [-\frac {19}{3} \text {RootSum}\left [-19 \text {$\#$1}^3+6 \sqrt [3]{38} \text {$\#$1}-19\& ,\frac {\log \left (\frac {\frac {4}{(b-2 x)^2}-\frac {24 y(x)}{(b-2 x)^3}}{4 \sqrt [3]{38} \sqrt [3]{\frac {1}{(b-2 x)^6}}}-\text {$\#$1}\right )}{2 \sqrt [3]{38}-19 \text {$\#$1}^2}\& \right ]=\frac {1}{9} 38^{2/3} \left (\frac {1}{(b-2 x)^6}\right )^{2/3} (b-2 x)^4 \log (b-2 x)+c_1,y(x)\right ]\] Maple : cpu = 0.024 (sec), leaf count = 41

\[\left \{y \left (x \right ) = \frac {\left (b -2 x \right ) \RootOf \left (c_{1}-\left (\int _{}^{\textit {\_Z}}\frac {1}{\textit {\_a}^{3}-\textit {\_a}^{2}-\textit {\_a} -1}d \textit {\_a} \right )+\ln \left (b -2 x \right )\right )}{2}\right \}\]