LAPLACE-CARSON TRANSFORM FOR THE PRIMITIVE OF SYSTEM OF CONVOLUTION TYPE LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS OF FIRST KIND

In the present paper, authors determine the primitive of system of convolution type linear Volterra integro-differential equations of first kind by using Laplace-Carson transform. Four numerical problems have been considered and solved using Laplace-Carson transform for explaining the applicability of Laplace-Carson transform for determining the primitive of system of convolution type linear Volterra integro-differential equations of first kind. Results of numerical problems depict that the Laplace-Carson transform provides the primitive of system of convolution type linear Volterra integro-differential equations of first kind without doing tedious calculation work.