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Title Details:
Laplace Transform with applications to differential equations
Authors: Tsitsas, Nikolaos
Reviewer: Frantzeskakis, Dimitrios
Subject: MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FUNCTIONS OF A COMPLEX VARIABLE
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FUNCTIONS OF A COMPLEX VARIABLE > SERIES EXPANSIONS
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > ORDINARY DIFFERENTIAL EQUATIONS > GENERAL THEORY
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > PARTIAL DIFFERENTIAL EQUATIONS > GENERAL HIGHER-ORDER EQUATIONS AND SYSTEMS
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > ORDINARY DIFFERENTIAL EQUATIONS
Description:
Abstract:
The Laplace Transform provides a method for solving linear differential equations, which are commonly used in the physical and engineering sciences. The purpose of this chapter is to introduce the reader to some of its basic ideas and applications. The Laplace transform is an integral transform introduced with the aid of a suitable generalized integral. After defining the transform, its basic properties are formulated, including its inverse and fundamental properties. Subsequently, using the Laplace transform, elementary techniques for solving linear differential equations with constant coefficients and systems of differential equations are outlined. Finally, the key property of the Laplace transform concerning the convolution of two functions is formulated, enabling techniques for solving integral and integro-differential equations.
Type: Chapter
Creation Date: 2015
Item Details:
License: http://creativecommons.org/licenses/by-nc-nd/3.0/gr
Handle http://hdl.handle.net/11419/1135
Bibliographic Reference: Tsitsas, N. (2015). Laplace Transform with applications to differential equations [Chapter]. In Tsitsas, N. 2015. Applied Mathematics [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/1135
Language: Greek
Is Part of: Applied Mathematics
Publication Origin: Kallipos, Open Academic Editions