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**About this book :- **
**Elementary Differential Equations (6E) ** written by
** Earl D. Rainville, Phillip E. Bedient, Richard E. Bedient **.

The new geometric material appears mainly in Sections 1.4 and 11.8. In the former we introduce students to the idea of a family of curves as solutions to a differential equation, and in the latter, the concept of the phase plane of a system of equations is presented. We have moved the treatment of systems of equations to an earlier place in the text.

Of all areas of mathematics covered in a typical undergraduate curriculum, the field of differential equations is arguably the most affected by the computer. Numerous packages have been produced which are either designed specifically for differential equations, or have subpackages designed for that material. We have made the rather arbitrary decision to present our computer examples using the Maple package. We could have equally well chosen any of the other Computer Algebra Systems such as Mathematica, Matlab, or Derive. Further, there are a number of numerical graphing packages that are more efficient for producing geometric results. Among the more commonly available are MacMath and Phaser.

Each computer supplement contains an example from the corresponding chapter, worked out with the aid of Maple. Subsequently a set of computer exercises is presented which can be solved using whichever package is available to the student. It is our hope that these brief introductions will encourage users to look beyond the text for further computer explorations.

(Earl D. Rainville)

**Book Detail :- **
** Title: ** Elementary Differential Equations
** Edition: ** 6th
** Author(s): ** Earl D. Rainville, Phillip E. Bedient, Richard E. Bedient
** Publisher: ** Macmillan
** Series: **
** Year: ** 1981
** Pages: ** 544
** Type: ** PDF
** Language: ** English
** ISBN: ** 9780023977701,0-02-397770-1
** Country: ** US
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**About Author :- **
The author ** Earl David Rainville ** (1907 – 1966) was the professor taught in the Department of Engineering Mathematics at the University of Michigan, where he began as an assistant professor in 1941.[1] He studied at the University of Colorado, receiving his B.A. there in 1930 before going on to graduate studies at Michigan, where he received his Ph.D. in 1939 under the supervision of Ruel Churchill. He died on April 29, 1966.

**All Famous Books of this Author :- **

Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

** • Download PDF Special Functions by Earl Rainville **

** • Download PDF Intermediate Course in Differential Equations by Earl Rainville **

** • Download PDF Elementary Differential Equations (6E) by Earl D. Rainville, Phillip E. Bedient, Richard E. Bedient **

** • Download PDF Elementary Differential Equations (8E) by Earl D. Rainville, Phillip E. Bedient, Richard E. Bedient **

** • Download PDF Elementary Differential Equations (8E, Solution Manual) by Earl D. Rainville, Phillip E. Bedient, Richard E. Bedient **

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**Book Contents :- **
**Elementary Differential Equations (6E) ** written by
** Earl D. Rainville, Phillip E. Bedient, Richard E. Bedient **
cover the following topics.
'

1. Definitions, Elimination of Arbitrary Constants

2. Equations of Order One

3. Elementary Applications

4. Additional Topics on Equations of Order One

5. Linear Differential Equations

6. Linear Equations with Constant Coefficients

7. Nonhomogeneous Equations: Undetermined Coefficients

8. Variation of Parameters

9. Inverse Differential Operators

10. Applications

11. The Laplace Transform

12. Inverse Transforms

13. Linear Systems of Equations

14. Electric Circuits and Networks

15. The Existence and Uniqueness of Solutions

16. Nonlinear Equations

17. Power Series Solutions

18. Solutions Near Regular Singular Points

19. Equations of Hypergeometric Type

20. Numerical Methods

21. Partial Differential Equations

22. Orthogonal Sets

23. Fourier Series

24. Boundary Value Problems

25. Additional Properties of the Laplace Transform

26. Partial Differential Equations; Transform Methods

Index

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