3.656   ODE No. 656

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

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

Mathematica: cpu = 0.042505 (sec), leaf count = 20 \[ \left \{\left \{y(x)\to e^{3 c_1 x+\frac {x^3}{2}}\right \}\right \} \]

Maple: cpu = 0.062 (sec), leaf count = 15 \[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {{x}^{3}}{2}}}}{{\rm e}^ {{\it \_C1}\,x}} \right \} \]