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This paper is concerned with obtaining the exact and approximate solutions of linear and nonlinear delay differential equations via a combination of the Laplace transform and variational iteration method. In this approach, a correction functional is constructed by a general Lagrange multiplier, which is determined by using the Laplace transform with the variational theory. Examples are given to elucidate the exact and approximate solution process, the simplicity, efficiency and reliability of this approach.

APPROXIMATE SOLUTION SOME DELAY DIFFERENTIAL EQUATIONS USING COMBINATION OF THE LAPLACE TRANSFORM AND THE VARIATIONAL ITERATION METHOD.