Geodesic
The particular solutions of some types of Euler-Cauchy ODE using the differential transform method
Alesemi, Meshari 1 ; El-Moneam, M. A. 1 ; Bader, Bader S. 1 ; Aly, E. S.1
1 Mathematics Department, Faculty of Science, Jazan University, Jazan, Kingdom of Saudi Arabia
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 3, p. 146-151.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we apply the differential transform method to find the particular solutions of some types of Euler-Cauchy ordinary differential equations. The first model is a special case of the nonhomogeneous $n^{\rm th}$ order ordinary differential equations of Euler-Cauchy equation. The second model under consideration in this paper is the nonhomogeneous second order differential equation of Euler-Cauchy equation with a bulge function. This study showed that this method is powerful and efficient in finding the particular solution for Euler-Cauchy ODE and capable of reducing the size of calculations comparing with other methods.
DOI : 10.22436/jnsa.012.03.02
Classification : 65L05
Keywords: Differential equations, differential transform method, Euler-Cauchy equations

Alesemi, Meshari  1 ; El-Moneam, M. A.  1 ; Bader, Bader S.  1 ; Aly, E. S. 1

1 Mathematics Department, Faculty of Science, Jazan University, Jazan, Kingdom of Saudi Arabia 
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Alesemi, Meshari ; El-Moneam, M. A. ; Bader, Bader S. ; Aly, E. S. The particular solutions of some types of Euler-Cauchy ODE using the 	differential transform method. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 3, p. 146-151. doi : 10.22436/jnsa.012.03.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.03.02/

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