Prefunctions and System of Differential Equation Via Laplace Transform

Volume 7, Issue 4, pp 293 - 304 http://dx.doi.org/10.22436/jmcs.07.04.08

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Authors

D. B. Dhaigude - Department of Mathematics, Dr. Babasaheb Ambedkar Marathawada UniversityAurangabad, Aurangabad, India. S. B. Dhaigude - SPMs Bhivarabai Savant Institute of Technology and Research (for women) Wagholi Pune-412207, India.

Abstract

The purpose of this paper is to study the system of Linear Differential Equations of first order, Second order and Third order in two variables as well as in three variables and obtained the set of Pre-functions and extended prefunctions are the closed form of solutions via Laplace Transforms technique.

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Keywords

• Pre-functions
• Extended prefunctions
• Initial Value Problems and Laplace Transforms

MSC

•  44A10
•  34A25
•  65L05
•  44A20

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