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Elementary Differential Equations Videos
Below you can find Youtube links for some lecture videos on Elementary Differential Equations. While the videos are based on my lecture notes, the section numbers refer to the book Elementary Differential Equations and Boundary Value Problems, 12th edition, by W. Boyce, R. DiPrima, D. Meade (Wiley, 2022). This list is highly incomplete, and I might add more over time.
| Topic | |
|---|---|
| 1. | Introduction |
| 1.2 | Solutions of Some Differential Equations |
| 1.3 | Classification of Differential Equations |
| 2. | First-Order Differential Equations |
| 2.1 | Linear Differential Equations |
| 3. | Second-Order Linear Differential Equations |
| 3.6 | Variation of Parameters |
| 4. | Higher-Order Linear Equations |
| 4.1 | General Theory of n-th Order Linear Equations |
| 7. | Systems of First-Order Linear Equations |
| 7.3 | Linear Independence, Eigenvectors, and Eigenvalues |
| 7.4 | Basic Theory of Systems of First-Order Linear Equations |
| 7.5 | Homogeneous Linear Systems with Constant Coefficients |