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Applications of the Laplace Transform in Mathematics and Engineering
ISSN: 2789 - 2239
Publisher: author
Applications of the Laplace Transform in Mathematics and Engineering
Indexed in
Technology and Engineering
ARTICLE-FACTOR
1.3
Article Basics Score: 3
Article Transparency Score: 2
Article Operation Score: 3
Article Articles Score: 3
Article Accessibility Score: 3
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International Category Code (ICC):
ICC-1802
Publisher: Bright Star University, Libya.
International Journal Address (IAA):
IAA.ZONE/2789405002239
eISSN
:
2789 - 2239
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Abstract
-In this paper, we define the Laplace transform as an effective mathematical tool for simplifying complex issues. We show the sufficient conditions for the existence of the Laplace transform the paper also includes a brief overview of the inverse Laplace transform and its important properties and the inverse Laplace transform of some functions. Then, the paper explains the mathematical and physical applications and the application of the Laplace transform to them, where we clarified the way, this transformation works and its creative idea that it transforms the differential equation into an algebraic equation that can be solved. Using the inverse Laplace transform, the result is easily reached after converting it into ordinary differential equations or differential equations, a partial that is difficult to solve with the usual methods known and explained to obtain the time domain from its frequency domain. The paper, also, shows the L...
