A first course in differential equations, modeling, and simulation. (2016)

• Record Type: Book
• Further Information: Note: Carlos A. Smith and Scott W. Campbell.
• Authors: Smith, Carlos A, 1943-; Campbell, Scott W
• Contents: Introduction; An Introductory Example; Differential Equations; Modeling; Forcing Functions; Book Objectives; Summary Objects in a Gravitational Field; An Example; Antidifferentiation: Technique for Solving First-Order Ordinary Differential Equations; Back to Section 2.1; Another Example; Separation of Variables: Technique for Solving First-Order Ordinary Differential Equations; Back to Section 2.4; Equations, Unknowns, and Degrees of Freedom; Partial Fraction Expansion; Summary Classical Solutions of Ordinary Linear Differential Equations; Examples of Differential Equations; Definition of a Linear Differential Equation; Integrating Factor Method; Solution of Homogeneous Differential Equations; Solution of Nonhomogeneous Differential Equations; Variation of Parameters; Handling Nonlinearities and Variable Coefficients; Transient and Final Responses; Summary Laplace Transforms; Definition of the Laplace Transform; Properties and Theorems of the Laplace Transform; Solution of Differential Equations Using Laplace Transform; Transfer Functions; Algebraic Manipulations Using Laplace Transforms; Deviation Variables; Summary Response of First- and Second-Order Systems; First-Order Systems; Second-Order Systems; Examples; Some Concluding Remarks; Summary Mechanical Systems: Translational; Mechanical Law, System Components, and Forces; Types of Systems; D’Alembert’s Principle and Free Body Diagrams; Examples; Vertical Systems; Summary Mechanical Systems: Rotational; Mechanical Law, Moment of Inertia, and Torque; Torsion Springs; Rotational Damping; Gears; Systems with Rotational and Translational Elements; Summary Mass Balances; Conservation of Mass; Flow Rates and Concentrations; Elements and Experimental Facts; Examples; Expressions for Mass Transport and Chemical Reactions; Additional Examples; Application to Bioengineering Processes; Final Comments; Summary; References Thermal Systems; Conservation of Energy; Modes of Heat Transfer; Conduction; Convection; Conduction and Convection in Series; Accumulated or Stored Energy; Some Examples; Heat Transfer in a Flow System; Thermal Effects in a Reactive System; Boundary Value Problems in Heat Transfer; Summary Electrical Systems; Some Definitions and Conventions; Electrical Laws, Components, and Initial Conditions; Examples of Electrical Circuits; Additional Examples; Energy and Power; RC Circuits as Filters; Summary Numerical Simulation; Numerical Solution of Differential Equations; Euler’s Method for First-Order Ordinary Differential Equations; Euler’s Method for Second-Order Ordinary Differential Equations; Step Size; More Sophisticated Methods; Representation of Differential Equations by Block Diagrams; Additional Examples; Summary; Reference Answers to Selected Problems
• Edition: Second edition
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2016
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 530.15535; Differential equations; Mathematical models; Simulation methods
• Languages: English
• ISBNs: 9781482257250; 9781482257236; 9781482257243
• Related ISBNs: 9781482257229
• Notes: Note: Description based on CIP data; item not viewed.
• 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.