Ordinary Differential Equations

• Main Authors: Adkins, William A. (Author), Davidson, Mark G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2012.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Differential equations.; Ordinary Differential Equations.

Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for co...

Table of Contents:

• Preface
• 1 First Order Differential Equations
• 2 The Laplace Transform
• 3 Second Order Constant Coefficient Linear Differential Equations
• 4 Linear Constant Coefficient Differential Equations
• 5 Second Order Linear Differential Equations
• 6 Discontinuous Functions and the Laplace Transform
• 7 Power Series Methods
• 8 Matrices
• 9 Linear Systems of Differential Equations
• A Appendix
• B Selected Answers
• C Tables
• Symbol Index
• Index.