TAILIEUCHUNG - Ebook A first course in differential (10th edition): Part 2

(BQ) Part 2 book "A first course in differential" has contents: Modeling with higher order differential equations, series solutions of linear equations, the laplace transform, systems of linear first order differential equations, numerical solutions of ordinary differential equations. | 5 Modeling with Higher-Order Differential Equations Linear Models: Initial-Value Problems Spring/Mass Systems: Free Undamped Motion Spring/Mass Systems: Free Damped Motion Spring/Mass Systems: Driven Motion Series Circuit Analogue Linear Models: Boundary-Value Problems Nonlinear Models Chapter 5 in Review We have seen that a single differential equation can serve as a mathematical model for diverse physical systems. For this reason we examine just one application, the motion of a mass attached to a spring, in great detail in Section . Except for terminology and physical interpretations of the four terms in the linear differential equation a dy d 2y ϩ b ϩ cy ϭ g(t), dt 2 dt the mathematics of, say, an electrical series circuit is identical to that of a vibrating spring/mass system. Forms of this linear second-order equation appear in the analysis of problems in many different areas of science and engineering. In Section we deal exclusively with initial-value problems, whereas in Section we examine applications described by boundary-value problems. In Section we also see how some boundary-value problems lead to the important concepts of eigenvalues and eigenfunctions. Section begins with a discussion on the differences between linear and nonlinear springs; we then show how the simple pendulum and a suspended wire lead to nonlinear models. 192 Copyright 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. LINEAR MODELS: INITIAL-VALUE PROBLEMS ● 193 LINEAR MODELS: INITIAL-VALUE PROBLEMS REVIEW .

• Toán học
• A first course in differential
• Higher order differential equations
• Differential equations
• The laplace transform
• Differential equations
• Ordinary differential equations
• A first course in differential equations
• First order differential equations
• Exact equations
• A numerical method
• Linear Models
• Nonlinear models
• Variation of parameters
• Definition of the laplace transform
• Laplace transforms
• Solving linear systems
• Linear equations
• Linear systems
• Nonlinear systems
• Computation of solutions
• Phase plane analysis
• Solution manual
• Order linear equations
• Power series solutions
• Linear differential equations
• Dynamical systems
• Classical theory
• Initial value problems
• Boundary value problems
• complete treatment
• linear methods
• advanced level
• numerical differential equation
• Euler method
• Planar dynamical systems
• Higher dimensional dynamical systems
• Local behavior near fixed points
• Discrete dynamical systems
• Chaos in higher dimensional systems
• Periodic solutions
• Coupling strength
• Complete network
• FitzHugh Nagumo model
• Ordinary differential equations of fitzhugh nagumo
• Identical synchronization in complete network
• Runge Kutta methods
• linear multistep methods
• general linear methods
• fundamental Euler method
• equation methods
• State space
• Several flying situations of paragliders
• Simulation of several flying situations
• Technologies
• Systems Engineering
• robotic
• mechanical
• anatomy
• The subject of rock mechanics
• Content of this book
• Geological setting
• Natural rock environments
• Stress as a point property
• Mathematical Software
• finite Element Methods
• Piecewise Polynomial Functions
• One Space Variable
• Partial Differential Equations
• BMC Cancer
• Tumor growth
• Cancer chemotherapy
• Mathematical model
• Delay differential equations
• Journal of Mechanics
• Canonical equations for a constrained mechanical system
• Constrained mechanical system
• Holonomic and nonholonomic systems
• Algebraic functions
• Differential calculus
• Integral calculus
• Multivariate calculus
• Matrix operations
• Numerical analysis
• Mathematical preliminaries
• Error analysis
• Solutions of equations
• Polynomial approximation
• Numerical differentiation
• Generation of ordinary differential equations
• Wrapped exponential distribution
• Nature of exponential distribution
• Wrapped probability distributions
• Entropy of wrapped distributions
• Tự động hóa
• Điện – điện tử
• Cơ khí chế tạo máy
• Kiến trúc xây dựng
• kỹ thuật viễn thông
• tư liệu
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