APPLICATION OF INVERSE LAPLACE TRANSFORMATION
Sangita Padhi, Kali P. Rath
Abstract
Sangita Padhi, Kali P. Rath
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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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