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Unformatted text preview: Study Guide for Test 3 MATH 2414 (Graves) Test 3 covers Chapter 9 (sections 9.1 – 9.5) and Chapter 10 (sections 10.1 – 10.4). 1. Understand the terminology and concepts used in connection with differential equations (DEs). Specifically: know what a DE is, how to find its order, how to verify that a function is a solution, what an initial condition is, and what constitutes an initial-value problem (IVP). Study the definitions in Section 9.1 2. Know how to sketch the graph of a solution to a first-order differential equation, given a direction field for it and an initial condition. Also, know how to find equilibrium solutions. Chapter 9 Review Exercises, p. 615: 1, 3a 3. Know how to use Euler’s method to approximate the values of solutions to IVPs. Chapter 9 Review Exercises, p. 615: 3b, 4 4. Know how to identify and solve separable and linear DEs and IVPs. Chapter 9 Review Exercises, pp. 615–616: 5–8, 9–12 5. Know how to find the orthogonal trajectories of a family of curves.5....
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This note was uploaded on 01/06/2012 for the course MATH 2414.S01 taught by Professor Alans.grave during the Fall '11 term at Collins.
- Fall '11