Fundamentals of differential equations with boundary value problems : pearson New International Edition /: pearson New International Edition. (2014)

• Record Type: Book
• Further Information: Note: Nagle Saff Snider.
• Authors: Snider, Nagle Saff
• Contents: 1. Introduction 1.1 Background 1.2 Solutions and Initial Value Problems 1.3 Direction Fields 1.4 The Approximation Method of Euler Chapter Summary Technical Writing Exercises Group Projects for Chapter 1 A. Taylor Series Method B. Picard's Method C. The Phase Line 2. First-Order Differential Equations 2.1 Introduction: Motion of a Falling Body 2.2 Separable Equations 2.3 Linear Equations 2.4 Exact Equations 2.5 Special Integrating Factors 2.6 Substitutions and Transformations Chapter Summary Review Problems Technical Writing Exercises Group Projects for Chapter 2 A. Oil Spill in a Canal B. Differential Equations in Clinical Medicine C. Torricelli's Law of Fluid Flow D. The Snowplow Problem E. Two Snowplows F. Clairaut Equations and Singular Solutions G. Multiple Solutions of a First-Order Initial Value Problem H. Utility Functions and Risk Aversion I. Designing a Solar Collector J. Asymptotic Behavior of Solutions to Linear Equations 3. Mathematical Models and Numerical Methods Involving First Order Equations 3.1 Mathematical Modeling 3.2 Compartmental Analysis 3.3 Heating and Cooling of Buildings 3.4 Newtonian Mechanics 3.5 Electrical Circuits 3.6 Improved Euler's Method 3.7 Higher-Order Numerical Methods: Taylor and Runge-Kutta Group Projects for Chapter 3 A. Dynamics of HIV Infection B. Aquaculture C. Curve of Pursuit D. Aircraft Guidance in a Crosswind E. Feedback and the Op Amp F. Bang-Bang Controls G. Market Equilibrium: Stability and Time Paths H. Stability of Numerical Methods I. Period Doubling and Chaos 4. Linear Second-Order Equations 4.1 Introduction: The Mass-Spring Oscillator 4.2 Homogeneous Linear Equations: The General Solution 4.3 Auxiliary Equations with Complex Roots 4.4 Nonhomogeneous Equations: The Method of Undetermined Coefficients 4.5 The Superposition Principle and Undetermined Coefficients Revisited 4.6 Variation of Parameters 4.7 Variable-Coefficient Equations 4.8 Qualitative Considerations for Variable-Coefficient and Nonlinear Equations 4.9 A Closer Look at Free Mechanical Vibrations 4.10 A Closer Look at Forced Mechanical Vibrations Chapter Summary Review Problems Technical Writing Exercises Group Projects for Chapter 4 A. Nonlinear Equations Solvable by First-Order Techniques B. Apollo Reentry C. Simple Pendulum D. Linearization of Nonlinear Problems E. Convolution Method F. Undetermined Coefficients Using Complex Arithmetic G. Asymptotic Behavior of Solutions 5. Introduction to Systems and Phase Plane Analysis 5.1 Interconnected Fluid Tanks 5.2 Elimination Method for Systems with Constant Coefficients 5.3 Solving Systems and Higher-Order Equations Numerically 5.4 Introduction to the Phase Plane 5.5 Applications to Biomathematics: Epidemic and Tumor Growth Models 5.6 Coupled Mass-Spring Systems 5.7 Electrical Systems 5.8 Dynamical Systems, Poincaré Maps, and Chaos Chapter Summary Review Problems.
• Edition: Sixth edition
• Publisher Details: Harlow, Essex [England] : Pearson
• Publication Date: 2014
• Copyright Date: 2014
• Extent: 1 online resource (873 pages), illustrations
• Subjects: 515.35; Boundary value problems; Differential equations; Problèmes aux limites; Équations différentielles; Boundary value problems; Differential equations
• Languages: English
• ISBNs: 9781292036731; 1292036737; 9781292036731
• Related ISBNs: 9781292023564
• Notes: Note: Online resource; title from PDF title page (EBC, viewed January 4, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.