2.1477   ODE No. 1477

\[ x y^{(3)}(x)+3 y''(x)+x y(x)=0 \]

✓ Mathematica : cpu = 0.137599 (sec), leaf count = 48

DSolve[x*y[x] + 3*Derivative[2][y][x] + x*Derivative[3][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to \frac {c_1 e^{-x}}{x}+\frac {c_2 e^{\sqrt [3]{-1} x}}{x}+\frac {c_3 e^{-(-1)^{2/3} x}}{x}\right \}\right \}\]

✓ Maple : cpu = 0.027 (sec), leaf count = 39

dsolve(x*diff(diff(diff(y(x),x),x),x)+3*diff(diff(y(x),x),x)+x*y(x)=0,y(x))
 

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