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Differential Equations : First and Second Order Linear Differential Equations.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, USA :
Momentum Press,
2015.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Differential Equations: First and Second Order Linear Differential Equations; Contents; Abbreviations Used in this Book; CHAPTER 1: Definition of Terms and Review of Linear Algebra; 1.1 Basic Definitions; 1.1.1 What Is a Differential Equation?; 1.1.2 Solution to a Differential Equation; 1.1.3 Family of Solutions; 1.1.4 Direction Fields; 1.2 Some Linear Algebra; 1.2.1 Matrices; 1.2.2 Systems of Linear Equations; 1.2.3 Matrix Addition and Subtraction and Scalar Product; 1.2.4 Transpose of a Matrix; 1.2.5 Dot Product and Matrix Multiplication; 1.2.6 Determinants.
- 1.2.7 The Inverse of a Square Matrix1.2.8 Matrix Form of a System of Linear Equations; 1.2.9 Linear Dependence; 1.2.10 Eigenvalues and Eigenvectors; 1.2.11 Diagonalization; CHAPTER 2: Linear First Order Differential Equations; 2.1 Linear First Order DE; 2.1.1 Bernoulli Differential Equation; 2.2 Separable Differential Equations; 2.3 Exact Differential Equations; 2.4 Homogeneous Differential Equations; 2.5 Existence and Uniqueness; CHAPTER 3: Homogeneous Second Order Differential Equations; 3.1 Linear Homogeneous DE; 3.2 Linear Independence and the Wronskian; 3.2.1 Linear Independence.
- 3.2.2 The Wronskian3.3 Solving ay"" + by' + cy = g(x); 3.3.1 The Method of Undetermined Coefficients; 3.3.2 Variation of Parameters; Bibliography; Index; Back Cover.