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Fundamentals of Differential Equations with Boundary Value Problems with IDE CD (Saleable Packa...
ISBN: 9780321419217 | 0321419219
Edition: 5thFormat: Hardcover w/CD
Publisher: Addison Wesley
Pub. Date: 1/1/2008
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Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. Available in two versions, these flexible texts offer the instructor many choices in syllabus design, course emphasis (theory, methodology, applications, and numerical methods), and in using commercially available computer software. Fundamentals of Differential Equations, Seventh Edition is suitable for a one-semester sophomore- or junior-level course. Fundamentals ofDifferential Equa... MORE
| Introduction Background Solutions and Initial Value Problems | |
| Direction Fields | |
| The Approximation Method of Euler Chapter | |
| Summary Technical Writing | |
| Exercises Group | |
| Projects for Chapter 1 | |
| Taylor Series Method | |
| Picard's Method | |
| Magnetic Dipole | |
| The Phase Line | |
| First-Order Differenti... MORE | |
| Introduction: Motion of a Falling Body | |
| Separable Equations Linear Equations | |
| Exact Equations Special Integrating Factors | |
| Substitutions and Transformations | |
| Chapter Summary Technical Writing | |
| Exercises Group | |
| Projects for Chapter 2 | |
| Differential Equations in Clinical Medicine | |
| Torricelli's Law of Fluid Flow | |
| The Snowplow Problem | |
| Two Snowplows | |
| Clairaut Equations and Singular Solutions | |
| Multiple Solutions of a First-Order Initial Value Problem | |
| Designing a Solar Collector | |
| Asymptotic Behavior of Solutions to Linear Equations | |
| Utility Functions and Risk Aversion | |
| Mathematical Models and Numerical Methods | |
| Involving First Order Equations | |
| Mathematical Modeling Compartmental Analysis | |
| Heating and Cooling of Buildings | |
| Newtonian Mechanics Electrical Circuits | |
| Improved Euler's Method Higher-Order | |
| Numerical Methods: Taylor and Runge-Kutta | |
| Chapter Summary Technical Writing | |
| Exercises Group | |
| Projects for Chapter 3 | |
| Dynamics of HIV Infection | |
| Aquaculture | |
| Curve of Pursuit | |
| Aircraft Guidance in a Crosswind | |
| Feedback and the Op Amp | |
| Bang-Bang Controls | |
| Market Equilibrium: Stability and Time Paths | |
| Stability of Numerical Methods | |
| Period Doubling and Chaos | |
| Linear Second-Order Equations | |
| Introduction: The Mass-Spring Oscillator | |
| Homogeneous Linear Equations | |
| The General Solution Auxiliary | |
| Equations with Complex Roots | |
| Nonhomogeneous Equations: The Method of Undetermined Coefficients | |
| The Superposition Principle and Undetermined Coefficients | |
| Revisited Variation of Parameters Variable-Coefficient | |
| Equations Qualitative Considerations for Variable-Coefficient and Nonlinear Equations | |
| A Closer Look at Free Mechanical Vibrations | |
| A Closer Look at Forced Mechanical Vibrations | |
| Chapter Summary Technical | |
| Writing Exercises | |
| Group Projects for Chapter 4 | |
| Nonlinear Equations Solvable by First-Order Techniques | |
| Apollo Reentry | |
| Simple Pendulum | |
| Linearization of Nonlinear Problems | |
| Convolution Method | |
| Undetermined Coefficients Using Complex Arithmetic | |
| An Alternative to the Method of Undetermined Coefficients | |
| Asymptotic Behavior of Solutions | |
| Introduction to Systems and Phase Plane Analysis | |
| Interconnected Fluid Tanks Elimination | |
| Method for Systems with Constant Coefficients | |
| Solving Systems and Higher-Order Equations | |
| Numerically Introduction to the Phase Plane | |
| Applications to Biomathematics: Epidemic and Tumor | |
| Growth Models Coupled Mass-Spring Systems | |
| Electrical Systems Dynamical Systems, Poincare Maps, and Chaos Chapter | |
| Summary Technical Writing | |
| Exercises Group | |
| Projects for Chapter 5 | |
| Designing a Landing System for Interplanetary Travel | |
| Things That Bob | |
| Hamiltonian Systems | |
| Strange Behavior of Competing Species - Part 1 | |
| Cleaning Up the Great Lakes | |
| Theory of Higher-Order Linear | |
| Differential Equations Basic | |
| Theory of Linear Differential | |
| Equations Homogeneous Linear | |
| Equations with Constant Coefficients | |
| Undetermined Coefficients and the Annihilator Method | |
| Method of Variation of Parameters Chapter Summary Technic | |
| Table of Contents provided by Publisher. All Rights Reserved. |
