UGC Approved Journal no 63975(19)

ISSN: 2349-5162 | ESTD Year : 2014
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Published in:

Volume 9 Issue 1
January-2022
eISSN: 2349-5162

UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975

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Published Paper ID:
JETIR2201290


Registration ID:
319329

Page Number

c703-c712

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Title

An Introduction of Laplace Transform for Engineering

Abstract

Abstract: Laplace Transformation has vital significance in engineering. Laplace Transform gives solution of many electrical engineering, mechanical engineering and communication engineering problems in easiest way. The Title of the paper is an introduction of Laplace Transform for engineering. This paper especially designed for second year engineering students. This paper deals with a brief introduction of what Laplace transform is and its properties and application in the applied science & Engineering problems. This article will provide basic fundamental clearance about Laplace Transform & gain some of the very important and basic applications of this transforms. Laplace transform is broadly used to solve ordinary differential equations, particularly initial value problems. In this article the main focus given to discuss in detail the definition of Laplace Transform, its formulae and properties with proof. It also include definition, formulae and properties of inverse Laplace Transform with examples then how apply Convolution theorem to find inverse Laplace Transform. Then focus on the formation of some special functions like periodic function, Heaviside’s Unit –step function and Dirac-delta function or Unit impulse function. As well as we will find the solution of some ordinary differential equations using Laplace Transform. By applying Laplace Transform we can convert ordinary differential equation into an algebraic equation.

Key Words

Laplace Transform, Convolution theorem, Heaviside’s Unit –step function and Dirac-delta function, Unit impulse function

Cite This Article

"An Introduction of Laplace Transform for Engineering", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.9, Issue 1, page no.c703-c712, January-2022, Available :http://www.jetir.org/papers/JETIR2201290.pdf

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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Cite This Article

"An Introduction of Laplace Transform for Engineering", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.9, Issue 1, page no. ppc703-c712, January-2022, Available at : http://www.jetir.org/papers/JETIR2201290.pdf

Publication Details

Published Paper ID: JETIR2201290
Registration ID: 319329
Published In: Volume 9 | Issue 1 | Year January-2022
DOI (Digital Object Identifier):
Page No: c703-c712
Country: Dist: Kolhapur, Maharashtra, India .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication


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