Solution of a Class of High Order Differential Equations

DOI

10.2991/emcs-16.2016.495How to use a DOI?

Keywords

Higher order differential equation; Integration by parts; binomial formula; Induction; Solution

Abstract

In order to solve physical problems, we must establish mathematical models for the problems. Mathematical models often are differential equations relating an unknown function and one or more of its derivatives. In this paper, in order to solve high order differential equations, we first proved the expression for n repeated definite integrals by mathematical induction, Integration by parts and binomial formula. Then we obtained the solution of a class of high order differential equations by integral technique and the formula for n repeated definite integrals. Our results can be used to study the properties of high order differential equations, and then our results can be used to investigate physical or “real life” problems.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

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

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TY  - CONF
AU  - Weida Qin
AU  - Wusheng Wang
PY  - 2016/01
DA  - 2016/01
TI  - Solution of a Class of High Order Differential Equations
BT  - Proceedings of the 2016 International Conference on Education, Management, Computer and Society
PB  - Atlantis Press
SP  - 1970
EP  - 1973
SN  - 2352-538X
UR  - https://doi.org/10.2991/emcs-16.2016.495
DO  - 10.2991/emcs-16.2016.495
ID  - Qin2016/01
ER  -