3.521   ODE No. 521

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

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

Mathematica: cpu = 0.003500 (sec), leaf count = 14 \[ \left \{\left \{y(x)\to c_1 x+c_1^3\right \}\right \} \]

Maple: cpu = 0.031 (sec), leaf count = 33 \[ \left \{ y \left ( x \right ) =-{\frac {2\,x}{9}\sqrt {-3\,x}},y \left ( x \right ) ={\frac {2\,x}{9}\sqrt {-3\,x}},y \left ( x \right ) ={{\it \_C1}}^{3}+{\it \_C1}\,x \right \} \]