Ordinary Differential Equations
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Ordinary Differential Equations
An Introduction to the Fundamentals
Howell, Kenneth B.
Taylor & Francis Ltd
12/2019
906
Dura
Inglês
9781138605831
15 a 20 dias
1832
Descrição não disponível.
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Ordinary Differential Equations;Nonhomogeneous Linear;Net Birth Rate;Nonhomogeneous Linear Differential Equation;Regular Singular Point;Homogeneous Linear Differential Equation;Nonhomogeneous Linear Equations;Differential Equation;Nonhomogeneous Differential Equation;Improved Euler Method;Laplace Transform;Higher Order Differential Equations;Engineering mathematics;Separable Differential Equations;First-order equations;Linear Differential Equation;Modeling;Piecewise Continuous Function;Second-order equations;Original Differential Equation;Homogeneous Differential Equation;mathematics;Arbitrary Constants;Nonhomogeneous Equations;Euler Method;Constant Solution;textbook;Power Series;Homogeneous Equation;differential equations;Linearly Independent;Implicit Solution
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Ordinary Differential Equations;Nonhomogeneous Linear;Net Birth Rate;Nonhomogeneous Linear Differential Equation;Regular Singular Point;Homogeneous Linear Differential Equation;Nonhomogeneous Linear Equations;Differential Equation;Nonhomogeneous Differential Equation;Improved Euler Method;Laplace Transform;Higher Order Differential Equations;Engineering mathematics;Separable Differential Equations;First-order equations;Linear Differential Equation;Modeling;Piecewise Continuous Function;Second-order equations;Original Differential Equation;Homogeneous Differential Equation;mathematics;Arbitrary Constants;Nonhomogeneous Equations;Euler Method;Constant Solution;textbook;Power Series;Homogeneous Equation;differential equations;Linearly Independent;Implicit Solution
