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Teaching Mathematics and its Applications Advance Access originally published online on May 7, 2009
Teaching Mathematics and its Applications 2009 28(2):101-108; doi:10.1093/teamat/hrp007
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© The Author 2009. Published by Oxford University Press on behalf of The Institute of Mathematics and its Applications. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

Solving second-order ordinary differential equations without using complex numbers

Ioannis E. Kougias{dagger}

Department of Telecommunication Systems and Networks, Technological Educational Institute in Messolonghi, Greece

{dagger}Email: kougias{at}teimes.gr

Submitted February 2009; accepted April 2009

Ordinary differential equations (ODEs) is a subject with a wide range of applications and the need of introducing it to students often arises in the last year of high school, as well as in the early stages of tertiary education. The usual methods of solving second-order ODEs with constant coefficients, among others, rely upon the use of complex variable analysis, a topic to which the students in question may not have been previously introduced. The purpose of this article is to present an alternative approach in establishing the general solution for such types of equations without using complex numbers.

Ioannis E. Kougias received a PhD from the Mathematics and Statistics Department of Patras University, Greece. He is currently an Associate Professor at the Department of Telecommunication Systems and Networks of the Technological Educational Institute in Messolonghi, Greece. He has taught Statistics and Applied Mathematics courses in Departments of Informatics, Accounting and Economics. His main areas of research are Applied Mathematical Analysis, Differential Equations and Mathematics Education.


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