Web Reference: Jun 26, 2023 · Here is a set of notes used by Paul Dawkins to teach his Differential Equations course at Lamar University. Introduction 1. First order equations 2. Higher order linear ODEs 3. Systems of ODEs 4. Fourier series and PDEs 5. More on eigenvalue problems 6. The Laplace transform 7. Power series methods 8. Nonlinear systems A. Linear algebra There are 742 exercises throughout the book, 248 of which have a solution in the back(those numbered 101 and above).A f... When finding an explicit formula for the solution of a differential equation is impossible or the formula is too complicated, we may use graphical or numerical methods to investigate how the solution behaves.
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