Solving Differential Equations and Systems of Differential Equations with Inverse Laplace Transform

Vassilios Saltas, Vassilios Tsiantos and Dimitrios Varveris
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Vassilios Saltas: International Hellenic University, Greece
Vassilios Tsiantos: International Hellenic University, Greece
Dimitrios Varveris: International Hellenic University, Greece

European Journal of Mathematics and Statistics, 2023, vol. 4, issue 3, 1-8

Abstract: The inverse Laplace transform enables the solution of ordinary linear differential equations as well as systems of ordinary linear differentials with applications in the physical and engineering sciences. The Laplace transform is essentially an integral transform which is introduced with the help of a suitable generalized integral. The ultimate goal of this work is to introduce the reader to some of the basic ideas and applications for solving initially ordinary differential equations and then systems of ordinary linear differential equations.

Keywords: Inverse Laplace transform; solving differential equations; solving systems of differential equations (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:4:y:2023:i:3:id:14192

DOI: 10.24018/ejmath.2023.4.3.192

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