The One Dimensional Damped Forced Harmonic Oscillator Revisited
G. Flores-Hidalgo, F.A. Barone

TL;DR
This paper provides a general solution to the one-dimensional damped harmonic oscillator with arbitrary external forces, using accessible methods suitable for educational purposes.
Contribution
It introduces a straightforward approach to solving the damped harmonic oscillator with arbitrary forcing, making it accessible for teaching and learning.
Findings
General solution for arbitrary external force
Accessible methods for students and educators
Applicable to introductory mechanics courses
Abstract
In this paper we give a general solution to the problem of the damped harmonic oscillator under the influence of an arbitrary time-dependent external force. We employ simple methods accessible for beginners and useful for undergraduate students and professors in an introductory course of mechanics.
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