Application of Laplace Transform in Physics for Solving Ordinary Differntial Equations

Toyesh Prakash Sharma¹ , Etisha Sharma²

Section:Research Paper, Product Type: Journal-Paper
Vol.12 , Issue.5 , pp.21-30, Oct-2024

Online published on Oct 31, 2024

Copyright © Toyesh Prakash Sharma, Etisha Sharma . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The Laplace transform is a crucial tool in solving complex physical problems in physics by converting differential equations into algebraic ones. This paper explores its applications in electromagnetism, classical mechanics, and thermodynamics. It demonstrates how the Laplace transform simplifies the analysis of electrical circuits, wave propagation, and heat conduction. The research highlights its effectiveness through examples, providing a framework for researchers to address complex challenges and advance understanding in various physical domains.

Key-Words / Index Term :
Laplace transform, Lagrangian Mechanics, Integral transform, Simple pendulum, compound pendulum etc

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