Consider a simple harmonic oscillator in 1D. Here are three solutions that satisfy the differential equation.

Here is my playlist with all the oscillator videos
   • Harmonic Oscillators  

00:00 Introduction
01:37 Example Motion in Python
03:08 Solution 1: Sine and Cosine
10:31 Checking Solution 1
13:22 Solution 2: Cosine with phase shift
18:49 Checking Solution 2
20:47 Solution 3: Exponentials