### Investigation and Analysis of Matlab Models Used to Solve Second Order Linear ODE

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#### Abstract

Ordinary differential equations (odes) are used in realistic applications such as applied mathematics, physics, metrology, and engineering. Because of the big efforts needed to solve second order linear ODES. ODEs are widely used to describe some plants, the behaviors of a plant were described, and the response signal was analyzed in order to improve the system performance by minimizing the absolute error. Some Matlab methods and functions were investigated. Also some models were built, the result of these methods, and the simulated model results were studied and some judgment were done regarding the results accuracy and implementation time. *Copyright © 2020 Praise Worthy Prize - All rights reserved.*

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