TY - JOUR AU - Alesemi, Meshari AU - El-Moneam, M. A. AU - Bader, Bader S. AU - Aly, E. S. PY - 2019 TI - The particular solutions of some types of Euler-Cauchy ODE using the differential transform method JO - Journal of Nonlinear Sciences and Applications SP - 146--151 VL - 12 IS - 3 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.012.03.02 DO - 10.22436/jnsa.012.03.02 ID - Alesemi2019 ER -