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...

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Autori principali: Adkins, William A., Davidson, Mark G., 1955- (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: New York, NY : Springer New York 2012.
Cham : Springer Nature
Serie:Undergraduate Texts in Mathematics
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Edition sous un autre format:• Ordinary differential equations, William A. Adkins, Mark G. Davidson, New York, Springer, 2012, 1 vol. (XIII-799 p.), Undergraduate texts in mathematics, 978-1-4614-3617-1
Sommario:
  • 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
  • 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