3.522   ODE No. 522

\[ \boxed { \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{3}- \left ( x+5 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.003501 (sec), leaf count = 20 \[ \left \{\left \{y(x)\to c_1 x-c_1^3+5 c_1\right \}\right \} \]

Maple: cpu = 0.047 (sec), leaf count = 46 \[ \left \{ y \left ( x \right ) =-{\frac {2\,x+10}{9}\sqrt {3\,x+15}},y \left ( x \right ) ={\frac {2\,x+10}{9}\sqrt {3\,x+15}},y \left ( x \right ) =-{{\it \_C1}}^{3}+{\it \_C1}\,x+5\,{\it \_C1} \right \} \]