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Approximate solutions to non-linear differential equations using Laplace transform techniques

Charles Raymond Brady

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Abstract

At the present time the primary method of obtaining solutions to nonlinear differential equations is by means of the digital computer and numerical techniques. A method is here proposed to find an approximate mathematical expression through the use of Laplace transform techniques. Thus, the Laplace transform concept is extended to the solution of nonlinear differential equations. (Author)

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What this paper is about

At the present time the primary method of obtaining solutions to nonlinear differential equations is by means of the digital computer and numerical techniques. A method is here proposed to find an approximate mathematical expression through the use of Laplace transform techniques. Thus, the Laplace transform concept is extended to the solution of nonlinear differential equations. (Author)

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

At the present time the primary method of obtaining solutions to nonlinear differential equations is by means of the digital computer and numerical techniques. A method is here proposed to find an approximate mathematical expression through the use of Laplace transform techniques. Thus, the Laplace transform concept is extended to the solution of nonlinear differential equations. (Author)

Key concepts: Laplace transform, Laplace transform applied to differential equations, Two-sided Laplace transform, Mathematics, Green's function for the three-variable Laplace equation, Mathematical analysis, Applied mathematics, Linear differential equation

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