2021•Journal of Emerging Technologies and Innovative ResearchRequires access

APPLICATION OF INVERSE LAPLACE TRANSFORMATION

Sangita Padhi, Kali P. Rath

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Abstract

The Laplace transformation is a mathematical tool which is used in the solving of differential equations by converting it from one from in to another from. Regularly it is effective in solving linear differential equations either ordinary or partial . The Laplace transformation is used in solving the time domain function by converting it Into frequency domain function. Laplace transformation makes it easier to solve the differential problem in engineering application and make differential equations simple to solve. In this paper we will discuss how to find the inverse Laplace transformation through Heaviside is expansion formula.

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What this paper is about

The Laplace transformation is a mathematical tool which is used in the solving of differential equations by converting it from one from in to another from. Regularly it is effective in solving linear differential equations either ordinary or partial . The Laplace transformation is used in solving the time domain function by converting it Into frequency domain function. Laplace transformation makes it easier to solve the differential problem in engineering application and make differential equations simple to solve. In this paper we will discuss how to find the inverse Laplace transformation through Heaviside is expansion formula.

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Available abstract

The Laplace transformation is a mathematical tool which is used in the solving of differential equations by converting it from one from in to another from. Regularly it is effective in solving linear differential equations either ordinary or partial . The Laplace transformation is used in solving the time domain function by converting it Into frequency domain function. Laplace transformation makes it easier to solve the differential problem in engineering application and make differential equations simple to solve. In this paper we will discuss how to find the inverse Laplace transformation through Heaviside is expansion formula.

Key concepts: Heaviside step function, Green's function for the three-variable Laplace equation, Laplace transform, Laplace transform applied to differential equations, Inverse Laplace transform, Transformation (genetics), Mathematics, Laplace's equation

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