• R.B.Thete
• Arihant Jain.

In recent years, the use of integral transforms becomes a powerful techniques to solve problems in applied science and technology. Integral transforms have been used to find the solution to problems governed by ordinary and partial differential equations and special types of integral equations . The integral transforms aim to transform a given problem into a simpler form that can be solved easily. The most common use of integral transforms is to find the solution to initial value problems. The integral transforms are also useful in the evaluation of certain integrals and the solution of certain differential equations, partial differential equations, and integral equations. In this paper, we have studied the solution of linear Volterra integro-differential equation of the first and second kind using Laplace transform techniques and some numerical examples done with the proposed scheme.

Integro-differential equation, Linear Volterra Integral Equation, Laplace Transform, Convolution Theorem, Inverse Laplace Transform.

"Analytical Solution of Linear Volterra Integro-Differential Equation of First and Second Kind By Laplace Transform", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 1, page no.150-155, January-2019, Available :http://www.jetir.org/papers/JETIR1901G23.pdf

"Analytical Solution of Linear Volterra Integro-Differential Equation of First and Second Kind By Laplace Transform", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 1, page no. pp150-155, January-2019, Available at : http://www.jetir.org/papers/JETIR1901G23.pdf