Pearson New International Edition
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Köp båda 2 för 1178 kr1. 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 Wr...