2.1477   ODE No. 1477

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

\[ x y^{(3)}(x)+3 y''(x)+x y(x)=0 \] Mathematica : cpu = 0.182079 (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 = 0.027 (sec), leaf count = 41

\[\left \{y \left (x \right ) = \frac {c_{2} {\mathrm e}^{\frac {x}{2}} \sin \left (\frac {\sqrt {3}\, x}{2}\right )+c_{3} \cos \left (\frac {\sqrt {3}\, x}{2}\right ) {\mathrm e}^{\frac {x}{2}}+c_{1} {\mathrm e}^{-x}}{x}\right \}\]