Applications of Laplace Transform in Science and Engineering: A Comprehensive Study Across Disciplines

Applications of Laplace Transform in Science and Engineering: A Comprehensive Study Across Disciplines
Author(s):
RAYAPATI RAMAKRISHNA REDDY
Keywords:
Laplace Transformations, Problem-Solving, Pharmaceutical Sciences, differential equations
Abstract
Laplace transformations have found widespread applications in various fields of science and engineering, enabling the modeling, analysis, and solution of complex differential equations. This paper explores four diverse applications of Laplace transformations in pharmaceutical sciences, mechanical engineering, electrical engineering, chemical engineering, and civil engineering. The paper highlights how Laplace transformations offer a powerful mathematical tool for solving problems in these domains. Specifically, we investigate problems related to pharmaceutical dosage decay, the dynamics of a spring-mass-damper system, electrical circuit analysis, chemical concentration dynamics, and the response of civil engineering structures to dynamic loads. In each case, Laplace transformations are applied to simplify complex differential equations and solve for important variables of interest.
Article Details
Unique Paper ID: 161690 Publication Volume & Issue: Volume 10, Issue 5 Page(s): 384 - 388
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