Abstract

Abstract Iterative ordinary differential equation is one type of functional differential equation. The study of this type of functional differential equation was started about 90 years ago. One of the pioneers who published a paper that was presented in 1921 was F.B. Fite, in [1]. Simple iterative ordinary differential equation is one type of such equation. This type of iterative differential equation was introduced in 2002 by M. Podisuk, in [6]. In this paper, nine simple iterative ordinary differential equations with their solutions are presented. The solution of the infinite order simple iterative ordinary differential equation is found.

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