nagle_differential_equations_ISM_Part2

nagle_differential_equations_ISM_Part2 - Exercises 10.5...

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Exercises 10.5 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 293 Exercises 10.6 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 294 Exercises 10.7 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 295 CHAPTER 11 Eigenvalue Problems and Sturm-Liouville Equations 297 Exercises 11.2 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 297 Exercises 11.3 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 298 Exercises 11.4 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 298 Exercises 11.5 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 299 Exercises 11.6 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 300 Exercises 11.7 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 302 Exercises 11.8 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 303 Review Problems Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 303 CHAPTER 12 Stability of Autonomous Systems 305 Exercises 12.2 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305 Exercises 12.3 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305 Exercises 12.4 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 306 Exercises 12.5 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 306 Exercises 12.6 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 307 Exercises 12.7 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 307 Review Problems Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 308 Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 309 CHAPTER 13 Existence and Uniqueness Theory 317 Exercises 13.1 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317 Exercises 13.2 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317 Exercises 13.3 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 318 Exercises 13.4 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 318 Review Problems Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 318 vi
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Notes to the Instructor One goal in our writing has been to create flexible texts that afford the instructor a variety of topics and make available to the student an abundance of practice problems and projects. We recommend that the instructor read the discussion given in the preface in order to gain an overview of the prerequisites, topics of emphasis, and general philosophy of the text. Software Supplements Interactive Differential Equations CD-ROM: By Beverly West (Cornell University), Steven Strogatz (Cornell University), Jean Marie McDill (California Polytechnic State Uni- versity – San Luis Obispo), John Cantwell (St. Louis University), and Hubert Hohn (Mas- sachusetts College of Arts) is a popular software directly tied to the text that focuses on helping students visualize concepts. Applications are drawn from engineering, physics, chemistry, and biology. Runs on Windows or Macintosh and is included free with every book. Instructor’s MAPLE/MATHLAB/MATHEMATICA manual: By Thomas W. Po- laski (Winthrop University), Bruno Welfert (Arizona State University), and Maurino Bautista (Rochester Institute of Technology). A collection of worksheets and projects to aid instruc- tors in integrating computer algebra systems into their courses. Available via Addison-Wesley Instructor’s Resource Center. MATLAB Manual ISBN 13: 978-0-321-53015-8; ISBN 10: 0-321-53015-2 MAPLE Manual ISBN 13: 978-0-321-38842-1; ISBN 10: 0-321-38842-9 MATHEMATICA Manual ISBN 13: 978-0-321-52178-1; ISBN 10: 0-321-52178-1 Computer Labs A computer lab in connection with a differential equations course can add a whole new di- mension to the teaching and learning of differential equations.
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