Differential Equations, a Tourist's Guide

Explore the world of ordinary differential equations (ODEs) in this 27-minute video by 3Blue1Brown. Gain an overview of what ODEs are, their applications, and how to visualize them. Learn about higher-order differential equations, pendulum dynamics, vector fields, and phase spaces. Discover unexpected applications of ODEs, such as modeling love relationships. Dive into the mathematical concepts with clear explanations and engaging animations, making complex ideas accessible to both beginners and those looking to refresh their knowledge.

Introduction
What are differential equations
Higherorder differential equations
Pendulum differential equations
Visualization
Vector fields
Phasespaces
Love
Computing