3.542   ODE No. 542

\[ \boxed { 16\, \left ( y \left ( x \right ) \right ) ^{2} \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{3}+2\,x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) =0} \]

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

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

Maple: cpu = 0.500 (sec), leaf count = 107 \[ \left \{ y \left ( x \right ) =\sqrt {16\,{{\it \_C1}}^{3}+2\,{\it \_C1} \,x},y \left ( x \right ) =-{\frac {i}{3}}\sqrt [4]{2}\sqrt [4]{3}\sqrt [4]{-{x}^{3}},y \left ( x \right ) ={\frac {i}{3}}\sqrt [4]{2}\sqrt [4]{ 3}\sqrt [4]{-{x}^{3}},y \left ( x \right ) =-\sqrt {16\,{{\it \_C1}}^{3} +2\,{\it \_C1}\,x},y \left ( x \right ) =-{\frac {\sqrt [4]{2}\sqrt [4]{ 3}}{3}\sqrt [4]{-{x}^{3}}},y \left ( x \right ) ={\frac {\sqrt [4]{2} \sqrt [4]{3}}{3}\sqrt [4]{-{x}^{3}}} \right \} \]