2.39   ODE No. 39

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

\[ -\text {a0}-\text {a1} y(x)-\text {a2} y(x)^2-\text {a3} y(x)^3+y'(x)=0 \] Mathematica : cpu = 0.120713 (sec), leaf count = 54

\[\text {Solve}\left [\text {RootSum}\left [\text {$\#$1}^2 \text {a2}+\text {$\#$1}^3 \text {a3}+\text {$\#$1} \text {a1}+\text {a0}\& ,\frac {\log (y(x)-\text {$\#$1})}{3 \text {$\#$1}^2 \text {a3}+2 \text {$\#$1} \text {a2}+\text {a1}}\& \right ]=x+c_1,y(x)\right ]\] Maple : cpu = 0.013 (sec), leaf count = 30

\[ \left \{ x-\int ^{y \left ( x \right ) }\! \left ( {{\it \_a}}^{3}{\it a3}+{{\it \_a}}^{2}{\it a2}+{\it \_a}\,{\it a1}+{\it a0} \right ) ^{-1}{d{\it \_a}}+{\it \_C1}=0 \right \} \]