# Textbook Solutions Differential Equations and Linear Algebra 4th Edition | 9780321964670

ISBN: 9780321964670

Author Stephen W. Goode

**Solutions by Chapter**

- Chapter 1.1: Differential Equations Everywhere
- Chapter 1.2: Basic Ideas and Terminology
- Chapter 1.3: The Geometry of First-Order Differential Equations
- Chapter 1.4: Separable Differential Equations
- Chapter 1.5: Some Simple Population Models
- Chapter 1.6: First-Order Linear Differential Equations
- Chapter 1.7: Modeling Problems Using First-Order Linear Differential Equations
- Chapter 1.8: Change of Variables
- Chapter 1.9: Exact Differential Equations
- Chapter 1.10: Numerical Solution to First-Order Differential Equations
- Chapter 1.11: Some Higher-Order Differential Equations
- Chapter 1.12: Basic Theory of Differential Equations
- Chapter 2.1: Matrices: Definitions and Notation
- Chapter 2.2: Matrix Algebra
- Chapter 2.3: Terminology for Systems of Linear Equations
- Chapter 2.4: Row-Echelon Matrices and Elementary Row Operations
- Chapter 2.5: Gaussian Elimination
- Chapter 2.6: The Inverse of a Square Matrix
- Chapter 2.7: Elementary Matrices and the LU Factorization
- Chapter 2.8: The Invertible Matrix Theorem I I
- Chapter 2.9: Chapter Review
- Chapter 3.1: The Definition of the Determinant
- Chapter 3.2: Properties of Determinants F
- Chapter 3.3: Cofactor Expansions
- Chapter 3.4: Summary of Determinants
- Chapter 3.5: Chapter Review
- Chapter 4: Vector Spaces
- Chapter 4.1: Vectors in Rn
- Chapter 4.2: Definition of a Vector Space
- Chapter 4.3: Subspaces
- Chapter 4.4: Spanning Sets
- Chapter 4.5: Linear Dependence and Linear Independence
- Chapter 4.6: Bases and Dimension
- Chapter 4.7: Change of Basis
- Chapter 4.8: Row Space and Column Space
- Chapter 4.9: The Rank-Nullity Theorem
- Chapter 5.1: Definition of an Inner Product Space
- Chapter 5.2: Orthogonal Sets of Vectors and Orthogonal Projections
- Chapter 5.4: Least Squares Approximation
- Chapter 5.5: Inner Product Spaces
- Chapter 6.1: Definition of a Linear Transformation
- Chapter 6.2: Transformations of R2
- Chapter 6.3: The Kernel and Range of a Linear Transformation
- Chapter 6.4: Additional Properties of Linear Transformations
- Chapter 6.5: The Matrix of a Linear Transformation
- Chapter 6.6: Linear Transformations
- Chapter 7.1: The Eigenvalue/Eigenvector Problem
- Chapter 7.2: General Results for Eigenvalues and Eigenvectors
- Chapter 7.3: Diagonalization
- Chapter 7.4: An Introduction to the Matrix Exponential Function
- Chapter 7.5: Orthogonal Diagonalization and Quadratic Forms
- Chapter 7.6: Jordan Canonical Forms
- Chapter 7.7: The Algebraic Eigenvalue/Eigenvector Problem
- Chapter 8.1: General Theory for Linear Differential Equations
- Chapter 8.2: Constant Coefficient Homogeneous Linear Differential Equations
- Chapter 8.3: The Method of Undetermined Coefficients: Annihilators
- Chapter 8.4: Complex-Valued Trial Solutions
- Chapter 8.5: Oscillations of a Mechanical System
- Chapter 8.6: RLC Circuits
- Chapter 8.7: The Variation of Parameters Method
- Chapter 8.8: A Differential Equation with Nonconstant Coefficients
- Chapter 8.9: Reduction of Order
- Chapter 8.10: Linear Differential Equations of Order n
- Chapter 9.1: First-Order Linear Systems
- Chapter 9.2: Vector Formulation
- Chapter 9.3: General Results for First-Order Linear Differential Systems
- Chapter 9.4: Vector Differential Equations: Nondefective Coefficient Matrix
- Chapter 9.5: Vector Differential Equations: Defective Coefficient Matrix
- Chapter 9.6: Variation-of-Parameters for Linear Systems
- Chapter 9.7: Some Applications of Linear Systems of Differential Equations
- Chapter 9.8: Matrix Exponential Function and Systems of Differential Equations
- Chapter 9.9: The Phase Plane for Linear Autonomous Systems
- Chapter 9.10: Nonlinear Systems
- Chapter 9.11: Systems of Differential Equations
- Chapter 10.1: Definition of the Laplace Transform
- Chapter 10.2: The Existence of the Laplace Transform and the Inverse Transform
- Chapter 10.3: Periodic Functions and the Laplace Transform
- Chapter 10.4: The Transform of Derivatives and Solution of Initial-Value Problems
- Chapter 10.5: The First Shifting Theorem
- Chapter 10.6: The Unit Step Function
- Chapter 10.7: The Second Shifting Theorem
- Chapter 10.8: Impulsive Driving Terms: The Dirac Delta Function
- Chapter 10.9: The Convolution Integral
- Chapter 10.10: The Laplace Transform and Some Elementary Applications
- Chapter 11.1: Review of Power Series
- Chapter 11.2: Series Solutions about an Ordinary Point
- Chapter 11.3: The Legendre Equation
- Chapter 11.4: Series Solutions about a Regular Singular Point
- Chapter 11.5: Frobenius Theory
- Chapter 11.6: Bessels Equation of Order p
- Chapter 11.7: Series Solutions to Linear Differential Equations

##### Textbook: Differential Equations and Linear Algebra

##### Edition: 4

##### Author: Stephen W. Goode

##### ISBN: 9780321964670

This textbook survival guide was created for the textbook: Differential Equations and Linear Algebra, edition: 4. Differential Equations and Linear Algebra was written by and is associated to the ISBN: 9780321964670. The full step-by-step solution to problem in Differential Equations and Linear Algebra were answered by , our top Math solution expert on 03/13/18, 06:45PM. Since problems from 91 chapters in Differential Equations and Linear Algebra have been answered, more than 93163 students have viewed full step-by-step answer. This expansive textbook survival guide covers the following chapters: 91.

### Add Subscription

Are you sure you want to subscribe to content for these textbook solutions? Your card on file will be charged.