American Journal of Applied Mathematics and Statistics. 2017, 5(1), 1-7
DOI: 10.12691/AJAMS-5-1-1
Combining Long Division of Polynomials and Exponential Shift Law to Solve Differential Equations
Nick Z. Zacharis1,
1Department of Computer Systems Engineering, Technological Educational Institute of Piraeus, Athens, Greece
Pub. Date: January 13, 2017
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
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.
Keywords
undetermined coefficients, long division, exponential shift law
Copyright
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