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++).
