### Problem Notes for Differential Equations 2280

**Background: functions and continuity**, used in Picard's
theorem, Chapter 2

**Chapter 1, First order differential equations **

**Chapter 2, First order applications, Sections 2.1, 2.2, 2.3, DEplot examples**

**Chapter 2, Numerical DE, sample maple codes, Sections 2.4, 2.5, 2.6 **

**Chapter 3, Linear higher order differential equations, mechanical oscillations, circuits, resonance**

**Chapter 4, Intro to nonlinear systems, Cayley-Hamilton-Ziebur, Numerical methods**

**Chapter 5, Linear systems, Eigenanalysis method, Mechanical applications, Exponential matrix, Variation of Parameters **

**Chapter 6, Dynamical systems, biology, mechanical systems, chaos **

**Chapter 7, Laplace theory, Laplace calculus, applications to differential equations **

**Chapter 9, Fourier series, heat and wave partial differential equations **

**Chapter 2, Rabbit problem**, Transparencies 2005

**Final exam study guide S2016, ch 1 to 10 **

Nathan Smale's 2280 problems Fall 2015

Professor Nathan Smale has provided hand-written solutions to a sample of 2280 exercises. Used with permission.
Darci Taylor's 2250 problems 2008

Hand-written problem details with answers, origin Fall 2008.
Chapters 1 to 10, Edwards-Penney, Differential Equations and Linear Algebra, selected problems.
Chapters 3, 4 of this book are linear algebra. The other chapters somewhat match the 2280 book,
with permutations of chapter numbers. In particular, 2250 Ch5 == 2280 Ch3, 2250 Ch7 == 2280 Ch4+Ch5,
2250 Ch10 == 2280 Ch7, 2250 Ch9 == 2280 Ch6. At Amazon.com, you can find a table of contents for the two books, then resolve the matches yourself.

Used with permission of Darci Taylor.