Lecture 01: Introduction to Differential Equations

Justin discusses the fundamental notions of differential equations and investigates slope fields, following chapter 1 of Boyce, DiPrima, and Meade. --- What is a Differential Equation?: 0:50 Example–Classify a DE: 15:06 Solutions of Differential Equations: 17:30 Example–Finding Solutions of DE: 21:50 Applications Involving DE: 25:15 Solving the Free Falling Body Equation: 31:54 Sketching Slope Fields: 35:50 Plotting Slope Fields in SageMath: 45:00 Equilibria Solutions and Distinct Solution Behavior: 51:28