Coupled Oscillators: General Solutions

This lecture covers the general solutions for coupled oscillators, focusing on expressing the general solution for a single oscillator, considering motion in a single direction, and discussing the general solution for N harmonic oscillators. The lecture also delves into the concept of particular solutions and eigenmodes, providing examples and equations for coupled oscillators. The instructor explains the dynamics of oscillators, emphasizing the importance of initial conditions and the impact of energy on the oscillations.