A Study on the Solution of the Cauchy-Euler Equations

Authors

  • Marwa O. A. Younis Department of Mathematics, Faculty of Science, University of Benghazi, Benghazi, Libya
  • Fadwa A. M. Madi Department of Mathematics, Faculty of Science, University of Benghazi, Benghazi, Libya

Keywords:

Ordinary differential equations, Cauchy-Euler equations, deferential transform method

Abstract

In this work, we studied the solution of non-homogeneous Cauchy-Euler equations. To find the general solution, we applied the differential transform method to the reduced associated homogenous equation, and to find a particular solution, we applied the differential transform method to non-homogeneous equation. This study showed that this technique is effective for solving the Cauchy-Euler equations and reduced the size of the calculations compared with the usual methods, especially for the higher-order Cauchy-Euler equations.

Dimensions

Published

2024-03-01

How to Cite

Marwa O. A. Younis, & Fadwa A. M. Madi. (2024). A Study on the Solution of the Cauchy-Euler Equations. African Journal of Advanced Pure and Applied Sciences (AJAPAS), 3(1), 155–162. Retrieved from https://aaasjournals.com/index.php/ajapas/article/view/710

Issue

Volume 3, Issue 1, January - March-2024

Section

Articles
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