Student Solutions Manual for Blanchard/Devaney/Hall's Differential Equations, 4th
ISBN: 9780495826729 | 0495826723
Edition: 4thFormat: Paperback
Publisher: Cengage Learning
Pub. Date: 5/18/2011
Why Rent from Knetbooks?
Because Knetbooks knows college students. Our rental program is designed to save you time and money. Whether you need a textbook for a semester, quarter or even a summer session, we have an option for you. Simply select a rental period, enter your information and your book will be on its way!
Top 5 reasons to order all your textbooks from Knetbooks:
- We have the lowest prices on thousands of popular textbooks
- Free shipping both ways on ALL orders
- Most orders ship within 48 hours
- Need your book longer than expected? Extending your rental is simple
- Our customer support team is always here to help
Contains fully worked-out solutions to all of the odd-numbered exercises in the text.
| First-Order Differential Equations | p. 1 |
| Modeling via Differential Equations | p. 2 |
| Analytic Technique: Separation of Variables | p. 6 |
| Qualitative Technique: Slope Fields | p. 16 |
| Numerical Technique: Euler's Method | p. 20 |
| Existence and Uniqueness of Solutions | p. 24 |
| Equilibria and the Phase Line | p. 27 |
| Bifurcations | p. 33 |
| Linear Equations | ... MORE |
| Integrating Factors for Linear Equations | p. 46 |
| Review Exercises | p. 55 |
| First-Order Systems | p. 65 |
| Modeling via Systems | p. 66 |
| The Geometry of Systems | p. 68 |
| The Damped Harmonic Oscillator | p. 74 |
| Additional Analytic Methods for Special Systems | p. 77 |
| Euler's Method for Systems | p. 80 |
| Existence and Uniqueness for Systems | p. 82 |
| The SIR Model of an Epidemic | p. 84 |
| The Lorenz Equations | p. 86 |
| Review Exercises | p. 87 |
| Linear Systems | p. 91 |
| Properties of Linear Systems and The Linearity Principle | p. 92 |
| Straight-Line Solutions | p. 98 |
| Phase Portraits for Linear Systems with Real Eigenvalues | p. 109 |
| Complex Eigenvalues | p. 120 |
| Special Cases: Repeated and Zero Eigenvalues | p. 127 |
| Second-Order Linear Equations | p. 136 |
| The Trace-Determinant Plane | p. 146 |
| Linear Systems in Three Dimensions | p. 150 |
| Review Exercises | p. 158 |
| Forcing and Resonance | p. 165 |
| Forced Harmonic Oscillators | p. 166 |
| Sinusoidal Forcing | p. 179 |
| Undamped Forcing and Resonance | p. 186 |
| Amplitude and Phase of the Steady State | p. 192 |
| The Tacoma Narrows Bridge | p. 194 |
| Review Exercises | p. 195 |
| Nonlinear Systems | p. 201 |
| Equilibrium Point Analysis | p. 202 |
| Qualitative Analysis | p. 215 |
| Hamiltonian Systems | p. 221 |
| Dissipative Systems | p. 225 |
| Nonlinear Systems in Three Dimensions | p. 232 |
| Periodic Forcing of Nonlinear Systems and Chaos | p. 234 |
| Review Exercises | p. 236 |
| Laplace Transforms | p. 245 |
| Laplace Transforms | p. 246 |
| Discontinuous Functions | p. 254 |
| Second-Order Equations | p. 260 |
| Delta Functions and Impulse Forcing | p. 270 |
| Convolutions | p. 272 |
| The Qualitative Theory of Laplace Transforms | p. 276 |
| Review Exercises | p. 277 |
| Numerical Methods | p. 285 |
| Numerical Error in Euler's Method | p. 286 |
| Improving Euler's Method | p. 296 |
| The Runge-Kutta Method | p. 300 |
| The Effects of Finite Arithmetic | p. 302 |
| Review Exercises | p. 302 |
| Discrete Dynamical Systems | p. 305 |
| The Discrete Logistic Equation | p. 306 |
| Fixed Points and Periodic Points | p. 308 |
| Bifurcations | p. 311 |
| Chaos | p. 313 |
| Review Exercises | p. 314 |
| Appendices | p. 317 |
| Changing Variables | p. 318 |
| Power Series: The Ultimate Guess | p. 328 |
| Table of Contents provided by Ingram. All Rights Reserved. |
