3.528   ODE No. 528

\[ \boxed { \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{3}+a \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+by \left ( x \right ) +abx=0} \]

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

Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]

Maple: cpu = 0.078 (sec), leaf count = 95 \[ \left \{ y \left ( x \right ) =-ax-{\frac {a \left ( {{\rm e}^{{\it RootOf} \left ( -2\,{a}^{2}{\it \_Z}-3\,{{\rm e}^{2\,{\it \_Z}}}+8\,a{ {\rm e}^{{\it \_Z}}}+2\,{\it \_C1}\,b-5\,{a}^{2}-2\,bx \right ) }}-a \right ) ^{2}+ \left ( {{\rm e}^{{\it RootOf} \left ( -2\,{a}^{2}{\it \_Z}-3\,{{\rm e}^{2\,{\it \_Z}}}+8\,a{{\rm e}^{{\it \_Z}}}+2\,{\it \_C1}\,b-5\,{a}^{2}-2\,bx \right ) }}-a \right ) ^{3}}{b}} \right \} \]