Elementary differential equations and boundary value problems. ELEMENTARY DIFFERENTIAL EQUATIONS WITH. Elementary Differential Equations with Boundary Value Problems is written. Elementary Differential Equations And Boundary Value Problems.pdf Free Download Here. Boundary Value Problems ELEMENTARY DIFFERENTIAL EQUATIONS WITH BOUNDARY VALUE.
Elementary Differential Equations with Boundary Value Problems (6th.. Home » Books » Mathematics » Elementary Differential Equations with Boundary Value Problems (6th Edition)Book Description. The evolution of the present text in successive editions is based on experience teaching the introductory differential equations course with an emphasis on conceptual ideas and the use of applications and projects to involve students in active problem- solving experiences. At various points our approach reflects the widespread use of technical computing environments like Maple, Mathematica, and MATLAB for the graphical, numerical, or symbolic solution of differential equations. Nevertheless, we continue to believe that the traditional elementary analytical methods of solution are important for students to learn and use. One reason is that effective and reliable use of computer methods often requires preliminary analysis using standard symbolic techniques; the construction of a realistic computational model often is based on the study of a simpler analytical model. C O N T E N T SCHAPTER 1. First- Order Differential Equations 1. Differential Equations and Mathematical Models 1. Integrals as General and Particular Solutions 1. Slope Fields and Solution Curves 1. Separable Equations and Applications 3. Linear First- Order Equations 4. Substitution Methods and Exact Equations 5. Population Models 7. Acceleration- Velocity Models 8. CHAPTER 2. 2 Linear Equations of Higher Order 1. Introduction: Second- Order Linear Equations 1. General Solutions of Linear Equations 1. Homogeneous Equations with Constant Coefficients 1. Mechanical Vibrations 1. Nonhomogeneous Equations and Undetermined Coefficients 1. Forced Oscillations and Resonance 1. Electrical Circuits 1. Endpoint Problems and Eigenvalues 1. CHAPTER 3. 3 Power Series Methods 1. Introduction and Review of Power Series 1. Series Solutions Near Ordinary Points 2. Regular Singular Points 2. Method of Frobenius: The Exceptional Cases 2. Bessel’s Equation 2. Applications of Bessel Functions 2. CHAPTER 4. 4 Laplace Transform Methods 2. Laplace Transforms and Inverse Transforms 2. Transformation of Initial Value Problems 2. Translation and Partial Fractions 2. Derivatives, Integrals, and Products of Transforms 2. Periodic and Piecewise Continuous Input Functions 3. Impulses and Delta Functions 3. CHAPTER 5. 5 Linear Systems of Differential Equations 3. First- Order Systems and Applications 3. The Method of Elimination 3. Matrices and Linear Systems 3. The Eigenvalue Method for Homogeneous Systems 3. Second- Order Systems and Mechanical Applications 3. Multiple Eigenvalue Solutions 3. Matrix Exponentials and Linear Systems 4. Nonhomogeneous Linear Systems 4. CHAPTER 6. 6 Numerical Methods 4. Numerical Approximation: Euler’s Method 4. A Closer Look at the Euler Method 4. The Runge- Kutta Method 4. Numerical Methods for Systems 4. CHAPTER 7. 7 Nonlinear Systems and Phenomena 4. Equilibrium Solutions and Stability 4. Stability and the Phase Plane 4. Linear and Almost Linear Systems 5. Ecological Models: Predators and Competitors 5. Nonlinear Mechanical Systems 5. Chaos in Dynamical Systems 5. CHAPTER 8. 8 Fourier Series Methods 5. Periodic Functions and Trigonometric Series 5. General Fourier Series and Convergence 5. Fourier Sine and Cosine Series 5. Applications of Fourier Series 5. Heat Conduction and Separation of Variables 5. Vibrating Strings and the One- Dimensional Wave Equation 5. Steady- State Temperature and Laplace’s Equation 6. CHAPTER 9. 9 Eigenvalues and Boundary Value Problems 6. Sturm- Liouville Problems and Eigenfunction Expansions 6. Applications of Eigenfunction Series 6. Steady Periodic Solutions and Natural Frequencies 6. Cylindrical Coordinate Problems 6. Higher- Dimensional Phenomena 6. Do you like this book? Please share with your friends, let's read it !!
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