2.1477   ODE No. 1477

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

\[ 3 y''(x)+x y^{(3)}(x)+x y(x)=0 \] Mathematica : cpu = 0.129029 (sec), leaf count = 48

\[\left \{\left \{y(x)\to \frac {c_1 e^{-x}}{x}+\frac {c_2 e^{\sqrt [3]{-1} x}}{x}+\frac {c_3 e^{-(-1)^{2/3} x}}{x}\right \}\right \}\] Maple : cpu = 0.043 (sec), leaf count = 41

\[ \left \{ y \left ( x \right ) ={\frac {1}{x} \left ( {\it \_C1}\,{{\rm e}^{-x}}+{\it \_C2}\,{{\rm e}^{{\frac {x}{2}}}}\sin \left ( {\frac {\sqrt {3}x}{2}} \right ) +{\it \_C3}\,{{\rm e}^{{\frac {x}{2}}}}\cos \left ( {\frac {\sqrt {3}x}{2}} \right ) \right ) } \right \} \]