# Elementary Differential Equations

DOI link for Elementary Differential Equations

Elementary Differential Equations book

# Elementary Differential Equations

DOI link for Elementary Differential Equations

Elementary Differential Equations book

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Elementary Differential Equations presents the standard material in a first course on diﬀerential equations, including all standard methods which have been a part of the subject since the time of Newton and the Bernoulli brothers. The emphasis in this book is on theory and methods and diﬀerential equations as a part of analysis.

Diﬀerential equations is worth studying, rather than merely some recipes to be used in physical science. The text gives substantial emphasis to methods which are generally presented ﬁrst with theoretical considerations following. Essentially all proofs of the theorems used are included, making the book more useful as a reference.

The book mentions the main computer algebra systems, yet the emphasis is placed on MATLAB and numerical methods which include graphing the solutions and obtaining tables of values.

Featured applications are easily understood. Complete explanations of the mathematics and emphasis on methods for ﬁnding solutions are included.

## TABLE OF CONTENTS

part I|60 pages

First Order Scalar Equations

part II|78 pages

Scalar Linear Differential Equations, Methods

part III|68 pages

Series Methods

part IV|108 pages

First Order Systems

part V|64 pages

Partial Differential Equations