EDUCATION & TRAINING
Why Laplace transforms are so useful
3Blue1Brown
About This Tutorial
Studying the forced harmonic oscillator by taking a Laplace transform and studying its poles. Instead of sponsored ad reads, these lessons are funded directly by viewers: An equally valuable form of is to simply share the videos. Chapter on the S-plane and Simple Harmonic Motion: - Key properties of a Laplace Transform - Qualitative analysis with Laplace Transforms - The Laplace Transforms of a Derivative - Intuition from the transformed solution - Inverting to find a final answer These animations are largely made using a custom Python library, manim.