In this paper, we adopted a new integral
transform called Kharrat-Toma Transform which can
be considered to be a basis for a number of potential new
integral transforms. Some fundamental properties about
this new integral transform were used in this work,
includes the existence theorem, transportation theorem,
convolution theorem and inversion equation. The major
advantage of this new technique is that it solves ordinary
differential equation with variable and constant
coefficients. Some relevant examples were solved to show
the efficiency of this technique.
Keywords : Kharrat-Toma Transform, Ordinary Differential Equations, Exact Solution