Abstract. It is well known fact that the Laplace transform is useful in solving linear ordinary differential equations with constant coefficients such as free/forced oscillations, but in the case of differential equation with variable coefficients is not. In here, we would like to propose the Laplace transform of Euler-Cauchy equation with variable coefficients, and find the solution of Euler-Cauchy equation represented by the differential operator using Laplace transform. The purpose of this research is to make an application to its difference equation and oscillation.

Received: October 29, 2012

AMS Subject Classification: 44A10, 34A12

Key Words and Phrases: Euler-Cauchy equation, variable coefficients, Laplace transform, z transform, oscillations

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DOI: 10.12732/ijpam.v84i4.4 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 84
Issue: 4

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