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Ordinary differential equations / William A. Adkins and Mark G. Davidson.

By: Contributor(s): Material type: TextTextSeries: Undergraduate texts in mathematicsPublication details: New York : Springer, 2012.Description: xiii, 799 p. : illustrations ; 24 cmISBN:
  • 9781461436171
Subject(s): DDC classification:
  • 23 Ad236 515.352
Contents:
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. Supplements-- B. Selected answers-- Indexes.
Summary: Unlike other texts on differential equations, this one provides an early presentation of the Laplace transform before deploying it in the motivation and development of many of the differential equation concepts for which it is particularly well suited.
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Includes indexes.

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. Supplements--
B. Selected answers--
Indexes.

Unlike other texts on differential equations, this one provides an early presentation of the Laplace transform before deploying it in the motivation and development of many of the differential equation concepts for which it is particularly well suited.

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