This Demonstration shows the graphic of the Green's function related to the linear differential equation of order , , , or ,[more]
where and with the following linear boundary conditions:
: periodic: , initial: , or final: ;
: periodic: , Dirichlet: or Neumann: ;
: periodic: ;
: periodic: , simply supported beam: , or clamped beam .
The solution of the boundary value problem (differential equation and boundary conditions) is given by .
In the code, the expression for the corresponding Green's function is given for an arbitrary interval .[less]
 E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, New York-Toronto-London: McGraw–Hill, 1955.