Test Bank For Fundamentals Of Differential Equations 8th Edition Nagle Saff Snider Contents Notes to the Instructor 1 Supplements . . . . . . . . . . . .
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[Show More] . . . . . . . . . . . . . . . . . . . . . . . . . 1 Computer Labs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Group Projects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Technical Writing Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Student Presentations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Homework Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Syllabus Suggestions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Numerical, Graphical, and Qualitative Methods . . . . . . . . . . . . . . . . . . 4 Engineering/Physics Applications . . . . . . . . . . . . . . . . . . . . . . . . . 6 Biology/Ecology Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 Supplemental Group Projects 10 Detailed Solutions & Answers to Even-Numbered Problems 17 CHAPTER 1 Introduction 17 Exercises 1.1 Detailed Solutions 17 Exercises 1.2 Detailed Solutions 18 Exercises 1.3 Detailed Solutions 23 Exercises 1.4 Detailed Solutions 25 Tables 29 Figures 30 CHAPTER 2 First Order Differential Equations 35 Exercises 2.2 Detailed Solutions 35 Exercises 2.3 Detailed Solutions 43 Exercises 2.4 Detailed Solutions 51 Exercises 2.5 Detailed Solutions 59 Exercises 2.6 Detailed Solutions 65 Review Problems Answers 74 Tables 75 Figures 76 CHAPTER 3 Mathematical Models and Numerical Methods Involving First Order Equations 77 Exercises 3.2 Detailed Solutions 77 Exercises 3.3 Detailed Solutions 85 Exercises 3.4 Detailed Solutions 91 Exercises 3.5 Answers 100 Exercises 3.6 Answers 101 Exercises 3.7 Answers 101 Tables 103 Figures 104 CHAPTER 4 Linear Second Order Equations 105 Exercises 4.1 Detailed Solutions 105 Exercises 4.2 Detailed Solutions 107 Exercises 4.3 Detailed Solutions 115 Exercises 4.4 Detailed Solutions 123 Exercises 4.5 Detailed Solutions 128 Exercises 4.6 Detailed Solutions 140 Exercises 4.7 Detailed Solutions 147 Exercises 4.8 Detailed Solutions 161 Exercises 4.9 Detailed Solutions 164 Exercises 4.10 Detailed Solutions 171 Review Problems Answers 175 Figures 177 CHAPTER 5 Introduction to Systems and Phase Plane Analysis 181 Exercises 5.2 Answers 181 Exercises 5.3 Answers 183 Exercises 5.4 Answers 184 Exercises 5.5 Answers 186 Exercises 5.6 Answers 186 Exercises 5.7 Answers 186 Exercises 5.8 Answers 187 Review Problems Answers 188 Tables 189 Figures 191 CHAPTER 6 Theory of Higher-Order Linear Differential Equations 197 Exercises 6.1 Answers 197 Exercises 6.2 Answers 198 Exercises 6.3 Answers 198 Exercises 6.4 Answers 199 Review Problems Answers 200 CHAPTER 7 Laplace Transforms 201 Exercises 7.2 Detailed Solutions 201 Exercises 7.3 Detailed Solutions 205 Exercises 7.4 Detailed Solutions 211 Exercises 7.5 Detailed Solutions 219 Exercises 7.6 Detailed Solutions 228 Exercises 7.7 Detailed Solutions 242 Exercises 7.8 Detailed Solutions 250 Exercises 7.9 Detailed Solutions 255 Review Problems Answers 265 Figures 266 CHAPTER 8 Series Solutions of Differential Equations 271 Exercises 8.1 Answers 271 Exercises 8.2 Answers 272 Exercises 8.3 Answers 273 Exercises 8.4 Answers 274 Exercises 8.5 Answers 275 Exercises 8.6 Answers 275 Exercises 8.7 Answers 277 Exercises 8.8 Answers 278 Review Problems Answers 279 Figures 280 CHAPTER 9 Matrix Methods for Linear Systems 281 Exercises 9.1 Answers 281 Exercises 9.2 Answers 281 Exercises 9.3 Answers 282 Exercises 9.4 Answers 285 Exercises 9.5 Answers 287 Exercises 9.6 Answers 289 Exercises 9.7 Answers 290 Exercises 9.8 Answers 292 Review Problems Answers 293 Figures 295 CHAPTER 10 Partial Differential Equations 297 Exercises 10.2 Answers 297 Exercises 10.3 Answers 297 Exercises 10.4 Answers 298 Exercises 10.5 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 299 Exercises 10.6 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 300 Exercises 10.7 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 301 CHAPTER 11 Eigenvalue Problems and Sturm-Liouville Equations 303 Exercises 11.2 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 303 Exercises 11.3 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 304 Exercises 11.4 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 304 Exercises 11.5 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305 Exercises 11.6 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 306 Exercises 11.7 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 308 Exercises 11.8 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 309 Review Problems Answers 309 CHAPTER 12 Stability of Autonomous Systems 311 Exercises 12.2 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311 Exercises 12.3 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311 Exercises 12.4 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 312 Exercises 12.5 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 312 Exercises 12.6 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313 Exercises 12.7 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313 Review Problems Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 314 Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 315 CHAPTER 13 Existence and Uniqueness Theory 323 Exercises 13.1 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 323 Exercises 13.2 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 323 Exercises 13.3 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 324 Exercises 13.4 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 324 Review Problems Answers 324 Appendix A: Review of Integration Techniques 325 Exercises A Detailed Solutions 325 Show Less [Show Less]