AN INVESTIGATION OF THE USE OF ORDINARY DIFFERENTIAL EQUATIONS APPLIED TO MECHANICAL ENGINEERING PROBLEMS.

Abstract

Ordinary Differential Equations (ODEs) are fundamental mathematical tools for modeling and analyzing mechanical systems in engineering. ODEs are used to describe the motion of physical systems, such as the motion of a mass on a spring, the behavior of a vibrating structure, or the dynamics of a mechanical system subjected to external forces. This paper presents a review of the applications of ODEs in mechanical engineering, highlighting their importance in modeling and simulating various mechanical systems. We discuss different types of ODEs and the methods used to solve them. In addition, we present several examples of ODE-based models of mechanical systems, including problems related to robotics, vehicle dynamics, and structural analysis.