Differential Equations in Physics

This lecture covers ordinary linear homogeneous differential equations, with constant coefficients, focusing on the harmonic oscillator equation. It explains the method of solution, including characteristic equations and the use of exponential functions. The lecture also discusses the oscillations of damped and undamped systems, exploring solutions in terms of trigonometric functions. The concepts of amplitude, phase, and resonance are introduced, along with the behavior of solutions in different damping scenarios.