3.535   ODE No. 535

\[ \boxed { 8\,x \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{3}-12\,y \left ( x \right ) \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+9\,y \left ( x \right ) =0} \]

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

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

Maple: cpu = 0.046 (sec), leaf count = 80 \[ \left \{ y \left ( x \right ) =0,y \left ( x \right ) ={\frac {x}{{{\it \_C1}}^{3}} \left ( {\it \_C1}\, \left ( 3\,{\it \_C1}+x \right ) \right ) ^{{\frac {3}{2}}} \left ( -3\,{\frac {3\,{\it \_C1}+x}{{\it \_C1}}}+9 \right ) ^{-1}},y \left ( x \right ) =-{\frac {3\,x}{2}},y \left ( x \right ) ={\frac {3\,x}{2}},y \left ( x \right ) =-{\frac {x}{{ {\it \_C1}}^{3}} \left ( {\it \_C1}\, \left ( 3\,{\it \_C1}+x \right ) \right ) ^{{\frac {3}{2}}} \left ( -3\,{\frac {3\,{\it \_C1}+x}{{\it \_C1}}}+9 \right ) ^{-1}} \right \} \]