ยง9.1: Intro to Differential Equations
A differential equation relates a function to its derivatives. In this section, we verify solutions and solve Initial Value Problems (IVPs) without integration techniques like separation of variables.
Library, Handouts & Tools
| Resource Name | Type | Description | Link |
|---|---|---|---|
| Paul's Notes: Basic Concepts | Study Guide | Definitions of "Order," "Solution," and "Initial Value Problem." | Read Notes |
Video Lectures
| Topic | Source | Description | Link |
|---|---|---|---|
| Verifying Solutions | Khan Academy | How to plug a function into a DE to check if it works (e.g., checking if $y=e^{2x}$ solves $y'-2y=0$). | Watch |
| Intro to Initial Value Problems | Org. Chem Tutor | Finding the specific constant $C$ (e.g., picking the specific curve where $y(0)=2$). | Watch |