Ordinary Differential Equations : An Introduction to the Fundamentals /: An Introduction to the Fundamentals. (2019)

• Record Type: Book
• Further Information: Note: Kenneth B. Howell.
• Authors: Howell, Kenneth B
• Contents: The Basics. The Starting Point: Basic Concepts and Terminology. Integration and Differential Equations. First-Order Equations. Some Basics about First-Order Equations.Separable First-Order Equations. Linear First-Order Equations. Simplifying Through Substitution. The Exact Form and General Integrating Factors. Slope Fields: Graphing Solutions Without the Solutions. Euler’s Numerical Method. The Art and Science of Modeling with First-Order Equations. Second- and Higher-Order Equations. Higher-Order Equations: Extending First-Order Concepts. Higher-Order Linear Equations and the Reduction of Order Method. General Solutions to Homogeneous Linear Differential Equations. Verifying the Big Theorems and an Introduction to Differential Operators. Second-Order Homogeneous Linear Equations with Constant Coefficients. Springs: Part I. Arbitrary Homogeneous Linear Equations with Constant Coefficients. Euler Equations. Nonhomogeneous Equations in General. Method of Undetermined Coefficients. Springs: Part II. Variation of Parameters.The Laplace Transform. The Laplace Transfrom (Intro). Differentiation and the Laplace Transform. The Inverse Laplace Transform. Convolution. Piecewise-Defined Functions and Periodic Functions. Delta Functions. Power Series and Modified Power Series Solutions. Series Solutions: Preliminaries. Power Series Solutions I: Basic Computational Methods. Power Series Solutions II: Generalizations and Theory.Modified Power Series Solutions and the Basic Method of Frobenius. The Big Theorem on the Frobenius Method, with Applications. Validating the Method of Frobenius. Systems of Differential Equations (A Brief Introduction). 35. Systems of Differential Equations: A Starting Point. Critical Points, Direction Fields and Trajectories.
• Edition: 2nd
• Publisher Details: CRC Press
• Publication Date: 2019
• Extent: 1 online resource (892 pages), (28 illustrations)
• Languages: English
• ISBNs: 9781000702415; 1000702413
• 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.