Comparing Trigonometric and Exponential Solutions to the Simple Harmonic Oscillator

Explore the different methods for solving the differential equation of the simple harmonic oscillator in this 13-minute video lecture. Learn how to find constants for both trigonometric and exponential solutions using initial conditions, and understand how these solutions yield the same result. Delve into the process of determining constants A and B for the trigonometric solution, followed by constants C1 and C2 for the exponential solution. Conclude by applying the Euler equation to demonstrate the equivalence of both approaches. Gain valuable insights into advanced physics problem-solving techniques and enhance your understanding of oscillatory motion.