Antiderivatives and Linear Differential Equations Using Matrices

Songpon Sriwongsa
University of Wisconsin-Milwaukee
PhD Graduate Student

“The concepts of a basis as well as a matrix for a linear transformation relative to a basis are fundamental in linear algebra. In 1997, Rogers suggested using the inverse matrix of differential operators relative to a given basis B to obtain antiderivatives of functions in B. In this talk, we will use this idea to find antiderivatives of products involving polynomials, trigonometric functions and     exponential functions. Additionally, we will illustrate a method used to find the particular solution for a non-homogeneous linear differential equation with constant coefficients and forcing terms involving the above functions”.