Ordinary Differential Equations
1 hr 4 min 24 Examples
- Definition, Classification, and Notation of Differential Equations
- Order and Linearity Classification (Examples #1-10)
- Differential Form and Solution Definitions for Differential Equations
- Verify the General Solution of the ODE (Examples #11-14)
Initial Value Problems
51 min 10 Examples
- Review of Differential Equation Solutions and IVP Steps
- Find Value(s) of m that Satisfy the ODE (Example #1)
- Verify the General Solution of the ODE (Example #2)
- Solve One- and Two-Parameter Family IVPs (Examples #3-5)
- Uniqueness Theorem, Interval of Existence, and IVP Solutions (Examples #6-8)
Chapter Test
50 min 5 Problems
- Classify ODEs by Order and Linearity (Problem #1a-d)
- Verify Function as DE Solution (Problem #2a-b)
- Verify IVP Solution (Problem #3a-b)
- Apply Uniqueness-Existence Theorem (Problem #4a-b)
- Determine Largest Open Solution Interval (Problem #5a-b)