This Maple worksheet provides a method for finding solutions for non-homogeneous partial differential equation of the form
= + , u(t, 0) = 0 = u(t, 1).
More important, if the function F(t,x) is periodic as a function of t, it provides a method for finding a periodic solution for the partial differential equation. Even more. Techniques are used to emphasize a general structure suitable for finding a periodic solution for ordinary differential equations having the same general form of Y' = AY + F where F is periodic.