LAPLACE TRANSFORM FOR SOLVING SYSTEM OF LINEAR VOLTERRA INTEGRO-ORDINARY DIFFERENTIAL EQUATIONS OF FIRST KIND

The system of Volterra integro-ordinary differential equations generally appears in determining the solutions of heat and mass transfer problem, growth problem of cells, electric circuit problem, drugs delivery problem and spring-mass problem. In this paper, authors present Laplace transform for determining the solution of system of linear Volterra integro-ordinary differential equations of first kind. Two numerical problems have been considered and solved using Laplace transform for explaining the applicability of Laplace transform. Results of numerical problems show that the Laplace transform is very effective for determining the solution of system of linear Volterra integro-ordinary differential equations of first kind.