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Journal of Emerging Trends in Engineering and Applied Sciences (JETEAS)

ISSN:2141-7016

Article Title: A Method for Solving Higher Order Homogeneous Ordinary Differential Equations with Non-Constant Coefficients
by Koyejo Oduola, Ibim Sofimieari, Patience Nwambo

Abstract:
Higher order differential equations as a field of mathematics has gained importance with regards to the increasing mathematical modeling and penetration of technical and scientific processes. This paper constitutes a presentation of some established old methods with emphasis on their limitations as well as the development of a newly proposed method for solving linear higher order ordinary differential equations with non-constant coefficients. This alternative solution eliminates the need for the commonly employed searching/guessing techniques of finding one linearly independent solution in order to obtain the other linearly independent solutions for the type of higher order differential equations considered.
Keywords: differential equation, reduction of order, non-constant coefficients, higher order, homogeneous equations
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ISSN: 2141-7016

Editor in Chief.

Prof. Gui Yun Tian
Professor of Sensor Technologies
School of Electrical, Electronic and Computer Engineering
University of Newcastle
United Kingdom

 

 

Copyright © Journal of Emerging Trends in Engineering and Applied Sciences 2010