COMPARIONS OF SOLUTION OF LINEAR ODEs: LAPLACE TRANSFORM AND COMPUTATIONAL METHOD

Abstract

A linear ordinary differential equation with constant coefficient is the whole family of differential equation, specially ordinary differential equation which frequently occur in various fields of science, applied mathematics and mathematical physics involving electrical circuit and bending of beam. In this thesis, we proposed the comparison of solution of linear ordinary differential equation with constant coefficient by the Laplace transform with computational method. We convert the proposed linear ordinary differential equation with constant coefficient into an algebraic equation for transformed function by using Laplace transform. Solving the linear first, second, third and fourth order of ordinary differential equation with constant coefficient, by applying inverse Laplace transform and the general solutions of the problems are obtained. Graphical solution and numerical values are presented to show the performance and accuracy of the proposed method. To obtain numerical value and graphical solution we used some software’s like mathematica and Computer programming (C++).