Department of Computer Science, University of Twente
Abstract
We investigate non-homogeneous linear differential equations of the form x′′(t)+x′(t)−x(t)=p(t) where p(t) is either a polynomial or a factorial polynomial in t. We express the solution of these differential equations in terms of the coefficients of p(t), in the initial conditions, and in the solution of the corresponding homogeneous differential equation y′′(t)+y′(t)−y(t)=0 with y(0)=y′(0)=1