An edition of Integration and differential equations (2013)

Integration and differential equations

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Last edited by ISBNbot2
August 22, 2020 | History
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An edition of Integration and differential equations (2013)

Integration and differential equations

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Integration involves ideas, with associated techniques, that are familiar from school mathematics; mastering this branch of mathematics is an essential requirement before moving to more sophisticated concepts and applications.

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Cover of: Integration and differential equations
Integration and differential equations
2013, Bookboon
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Book Details

Table of Contents

Sisältö
Introduction and Background
The Riemann integral
The fundamental theorem of calculus
Theorems on integration
Standard integrals
Integration by parts
Improper integrals
Non-uniqueness of representation
Exercises 1
The integration of rational functions
Improper fractions
Linear denominator, Q(x)
Quadratic denominator, Q(x)
Cubic denominator, Q(x)
Exercises 2
The integration of trigonometric functions
Simple products
Powers of sin and cos
Rational functions of sin and cos
Exercises 3
Answers
Part II The integration of ordinary differential equations
List of Equations
Preface
What is a differential equation ?
The nature and solution of differential equations
Classification of ODEs
Overview of the equations to be discussed
First order ODEs: standard results
Separable equations
Homogeneous equations
The general linear equation
First order ODEs: special equations
The Bernoulli equation
The Clairaut equation
The Riccati equation
Exact differentials
Missing variables
Second order ODEs
Constant coefficient equations
The Euler equation
Reduction of order
Variation of parameters
Finding particular integrals directly
Missing variables
Exercises 4
More general aspects of ODEs
Interchanging x and y
Singular solutions
Uniqueness
Exercises 5
Answers
Index

ID Numbers

Open Library
OL25796044M
ISBN 13
9788776819705

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
August 22, 2020 Edited by ISBNbot2 normalize ISBN
November 3, 2015 Edited by Alice Kirk Edited without comment.
November 3, 2015 Edited by Alice Kirk Added new cover
November 3, 2015 Created by Alice Kirk Added new book.