International journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN:2313-626X

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 Volume 5, Issue 4 (April 2018), Pages: 109-114

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 Original Research Paper

 Title: A new transformation technique to find the analytical solution of general second order linear ordinary differential equation

 Author(s): Zulfiqar Ahmed 1, 2, *, Muhammad Kalim 2

 Affiliation(s):

 1Department of Computer Science, GIFT University, Gujranwala, Pakistan
 2Department of Mathematics, National College of Business Administration and Economics, Lahore, Pakistan

 https://doi.org/10.21833/ijaas.2018.04.014

 Full Text - PDF          XML

 Abstract:

The purpose of this paper is to introduce a new analytical approach towards the general solution of ordinary linear differential equations (OLDEs) of order two. The method involves a transformation based on integral function in an exponential form which leads to the general solution of given differential equation. A special case of second order OLDEs has been discussed to develop the formulae and solution procedure and different problems have been solved to explain the solution method. Finally, the idea has been extended to solve the general form of second order OLDEs. 

 © 2018 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Ordinary differential equations, Analytical solution, Transformations

 Article History: Received 17 November 2017, Received in revised form 16 February 2018, Accepted 25 February 2018

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2018.04.014

 Citation:

 Ahmed Z and Kalim M (2018). A new transformation technique to find the analytical solution of general second order linear ordinary differential equation. International Journal of Advanced and Applied Sciences, 5(4): 109-114

 Permanent Link:

 http://www.science-gate.com/IJAAS/2018/V5I4/Ahmed.html

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