Laplace Transforms

Martin Hermann and Masoud Saravi
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Martin Hermann: Friedrich Schiller University, Institute of Applied Mathematics
Masoud Saravi: Islamic Azad University Nour Branch, Department of Mathematics

Chapter Chapter 4 in A First Course in Ordinary Differential Equations, 2014, pp 93-118 from Springer

Abstract: Abstract The main focus of Chap. 4 is the Laplace transform. At first, the Laplace transform operator is introduced and applied to some nonperiodic and periodic functions. Then, the Laplace transforms of derivatives and integrals, the derivatives and integrals of the Laplace transforms, as well the convolution theorem are presented. It is shown how the Laplace transform can be used to solve scalar differential equations.

Keywords: Integral Equation; Periodic Function; Laplace Transform; Piecewise Continuous Function; Convolution Theorem (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-81-322-1835-7_4

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