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3f-fall2010-exam_1_review - or not • Identify the order...

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Math 3F — Exam #1 Review Sheet Laney College, Fall 2010 Fred Bourgoin The exam will cover chapters 1 and 2, except sections 1.4, 2.7, and 2.9. You are responsible for all of the material presented in lecture and/or included in homework assignments 1–4. To help you review, I have made a list of all the things you should know and all the skills you should have. One of the things you should do to get ready for the exam is review your homework. Chapter 1: Introduction Draw a direction field. Find the equilibrium solutions of a D.E. Know the difference between the general solution to a D.E. and a par- ticular solution. Know what an initial-value problem is. Recognize a D.E. as ordinary or partial, linear or nonlinear, separable
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Unformatted text preview: or not. • Identify the order of a D.E. Chapter 2: First-Order Differential Equations • Solve a linear D.E. using the integrating factor. • Solve a separable D.E. • Construct models for tank, investment, population, and free-falling object problems. • Know the differences between linear and nonlinear D.E.’s. • Draw a phase diagram and a phase line for an autonomous D.E.; use them to sketch some solutions. • Identify the stable, unstable, and semistable equilibrium solutions of an autonomous D.E. • Determine whether a D.E. is exact. • Solve an exact D.E. • Understand and use Picard’s iteration method....
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