Skip to content

# Differential Equations A Systems Approach

## Edition: 1998

### Authors: Jack L. Goldberg, Merle C. Potter

List price: \$111.00
30 day, 100% satisfaction guarantee!
Out of stock
what's this?
Rush Rewards U
Members Receive:
You have reached 400 XP and carrot coins. That is the daily max!

### Description:

Appropriate for an introductory undergraduate course in differential equations. Engineers and scientists study differential equations because of its crucial role in the analysis of physical and biological systems. This short text addresses this need by presenting the classical theory from a systems point of view. Besides making system theory the unifying pedagogical take, this text offers an abundance of applications, examples, and problems. For the instructors interested in combining computer solutions to differential equations, there are many problems which ask students to use MATLAB.
Customers also bought

### Book details

List price: \$111.00
Copyright year: 1998
Publisher: Prentice Hall PTR
Publication date: 7/31/1997
Binding: Hardcover
Pages: 476
Size: 7.50" wide x 9.75" long x 1.00" tall
Weight: 1.980
Language: English

 Complex Numbers Introduction The Cartesian and Exponential Forms Roots of Polynomial Equations and Numbers Matrix Notation and Terminology The Solution of Simultaneous Equations The Algebra of Matrices Matrix Multiplication The Inverse of a Matrix The Computation of A-1 Determinants Linear Independence First-Order Differential Equations Preliminaries Definitions The First-Order Linear Equation Applications of First-Order Linear Equations Nonlinear Equations of First Order Linear Systems Introduction Eigenvalues and Eigenvectors First-Order Systems Solution and Fundamental Solution Matrices Some Fundamental Theorems Solutions of Nonhomogeneous Systems Nonhomogeneous Initial-Value Problems Fundamental Solution Matrices Second-Order Linear Equations Introduction Sectionally Continuous Functions Linear Differential Operators Linear Independence and the Wronskian The Nonhomogeneous Equation Constant Coefficient Equations Spring-Mass Systems in Free Motion The Electric Circuit Undetermined Coefficients The Spring-Mass System: Forced Motion The Cauchy-Euler Equation Variation of Parameters Higher Order Equations Introduction The Homogeneous Equation The Nonhomogeneous Equation Companion Systems Homogeneous Companion Systems Variation of Parameters The Laplace Transform Introduction Preliminaries General Properties of the Laplace Transform Sectionally Continuous Functions Laplace Transforms of Periodic Functions The Inverse Laplace Transform Partial Fractions The Convolution Theorem The Solution of Initial-Value Problems The Laplace Transform of Systems Tables of Transforms Series Methods Introduction Analytic Functions Taylor Series of Analytic Functions Power Series Solutions Legendre's Equations Three Important Examples Bessel's Equation The Wronskian Method The Frobenius Method Numerical Methods Introduction Direction Fields Notational Conventions The Euler Method Heun's Method Taylor Series Methods Runge-Kutta Methods Multivariable Methods Higher Order Equations Boundary-Value Problems Introduction Separation of Variables Fourier Series Expansions The Wave Equation The One-Dimensional Heat Equation The Laplace Equation A Potential about a Spherical Surface