On the SEE transform and systems of ordinary differential equations

Abstract

Integral transforms, have many applications in the various diciplines of natural science and engineering to solve the problems of springs, heat transfer, electronical and electrical networks, mixing problems, carbon dating problems, bending of beams, Newton’s second law of motion, signal processing, exponential growth and decay problems. Also, many phenomenon of real life (biology, neuclear physics, chemistry, and tele-communications …) can be expressed mathematically by linear or nonlinear systems and solved by using integral transform. In this paper, authers disscused the SEE (Sadiq-Emad-Eman) integral transform and systems of ordinary differential equations. SEE integral transform method is very important for the solution of the respose of a linear system governed by an ordinary differential equation in the initial conditions (data) and (or) to an external disturbance (or external input function). Also, we apply it to obtain exact solution of linear systems of ordinary differential equations.