3.541   ODE No. 541

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

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

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

Maple: cpu = 0.499 (sec), leaf count = 103 \[ \left \{ y \left ( x \right ) =\sqrt {{{\it \_C1}}^{3}+2\,{\it \_C1}\,x} ,y \left ( x \right ) =-{\frac {2\,i}{3}}\sqrt [4]{2}\sqrt [4]{3}\sqrt [ 4]{-{x}^{3}},y \left ( x \right ) ={\frac {2\,i}{3}}\sqrt [4]{2}\sqrt [4 ]{3}\sqrt [4]{-{x}^{3}},y \left ( x \right ) =-\sqrt {{{\it \_C1}}^{3}+2 \,{\it \_C1}\,x},y \left ( x \right ) =-{\frac {2\,\sqrt [4]{2}\sqrt [4] {3}}{3}\sqrt [4]{-{x}^{3}}},y \left ( x \right ) ={\frac {2\,\sqrt [4]{2 }\sqrt [4]{3}}{3}\sqrt [4]{-{x}^{3}}} \right \} \]