This software calculates the Green’s function, G(t,s), from the boundary value problem given by a linear nth - order ODE with constant coefficients:

u⁽ⁿ⁾(t)+c₁u^(n-1)(t)+c₂u^(n-2)(t)...c_nu(t) t ∈[a,b]

together with the boudnary conditions:

∑ ^n-1 _j=0 α_i^ju^(j)(a)+ β_i^ju^(j)(b)

This Mathematica package provides a tool valid for calculating the explicit expression of the Green’s function related to a nth – order linear ordinary differential equation, with constant coefficients, coupled with two – point linear boundary conditions.
The system allows to configure the following parameters:

• Order: the order of the differential equation (natural number)
• Coefficients: coefficients vector of the differential equation {c1, ... cn}. The system allows to introduce parameters, but in this case the solution will be only analytical and not graphical.
• Endpoints of the interval (a and b)
• Periodic conditions: enables the use of periodic boundary conditions.
• Boundary conditions: a vector containing the boundary conditions.

File Number: 13 

Web site: http://www.usc.es/ednl/ingles/index.html