Final answer:
The general equations of simple harmonic oscillators illustrate that they are the same, demonstrating that the frequency and period of the oscillation are independent of the amplitude.
Step-by-step explanation:
The general equations of simple harmonic oscillators show that they are the same. These equations illustrate that the characteristics of simple harmonic motion (SHM) are that the frequency and period of the oscillation are independent of amplitude. For example, whether plucking a guitar string softly or with force, the frequency of the resulting sound waves will be the same because SHM assumes the restoring force is proportional to the displacement and no other forces alter the motion. This concept is fundamental in understanding how physical systems that can be modeled as harmonic oscillators, such as pendulums and springs, behave over time.