Mathematics Seminar - Öznur Yasar, University Istanbul

Title:"Solving Linear Inhomogeneous Differential Equations with Constant Coefficients: From Theory to Practical Applications"

Abstract:

Linear differential equations are fundamental in mathematics, and understanding how to solve them is a crucial skill. This lecture offers a comprehensive exploration of both solution techniques of linear inhomogeneous differential equations with constant coefficients and their real-world applications, specifically focusing on driven harmonic oscillators. Driven harmonic oscillators are ubiquitous in physics and engineering, appearing in scenarios from mechanical vibrations to electrical circuits. Through this lecture, we'll explore how these equations model the behavior of driven harmonic oscillators and provide valuable insights into predicting and understanding complex physical systems.