2.1477   ODE No. 1477

\[ x y^{(3)}(x)+3 y''(x)+x y(x)=0 \] Mathematica : cpu = 0.129006 (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 = 0.026 (sec), leaf count = 41


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