AN ALTERNATIVE TECHNIQUE FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS

Year 2016, Volume: 4 Issue: 1, 68 - 79, 01.04.2016

Neşe Dernek Fatih Aylıkçı Sevil Kıvrak

Abstract

In this paper, a new method for solving ordinary di erential equations is given by using the generalized Laplace transform Ln. Firstly, the authors introduce a di erential operator  that is called the -derivative. A relation between the Ln-transform of the -derivative of a function and the Ln- transform of the function itself are derived. Then, the convolution theorem is proven. Using obtained theorems, a few initial-value problems for ordinary di erential equations are solved as illustrations.

Keywords

The Laplace transform, The Ln-transform, The L􀀀1 n -transform and Linear ordinary dierential equations

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