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R.C. Gupta, Linear differential equations with constant coefficients: An alternative to the method of undetermined coefficients. Proceedings of the 2nd International Conference on the Teaching of Mathematics, Crete, Greece: John Wiley & Sons, 2002.

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Article

Combining Long Division of Polynomials and Exponential Shift Law to Solve Differential Equations

1Department of Computer Systems Engineering, Technological Educational Institute of Piraeus, Athens, Greece


American Journal of Applied Mathematics and Statistics. 2017, Vol. 5 No. 1, 1-7
DOI: 10.12691/ajams-5-1-1
Copyright © 2017 Science and Education Publishing

Cite this paper:
Nick Z. Zacharis. Combining Long Division of Polynomials and Exponential Shift Law to Solve Differential Equations. American Journal of Applied Mathematics and Statistics. 2017; 5(1):1-7. doi: 10.12691/ajams-5-1-1.

Correspondence to: Nick  Z. Zacharis, Department of Computer Systems Engineering, Technological Educational Institute of Piraeus, Athens, Greece. Email: nzach@teipir.gr.

Abstract

Inspired by the method of undetermined coefficients, this paper presents an alternative method to solve linear differential equations with constant coefficients, using the technique of polynomial long division. Expanding this technique with the exponential shift law enables to solve all types of non-homogeneous differential equations, of where the undetermined coefficients can be applied.

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