A Course in Ordinary Differential Equation

Bindhyachal Rai, D.P. Choudhury, H.I. Freedman

464 pages, parution le 21/04/2002

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Résumé

This text book for the undergraduate and postgraduate courses presupposes no background other than elementary calculus.
The novel features of the book are :

Systematic method of finding integrating factors of the first order equations
Unified treatment of several categories of equations under the banner of Linerarly Separable Equations
Rational approach to Singular Solutions
Sound treatment of inverse operator method for obtaining particular solutions of non-homogeneous linear equations
Technique of solving systems of linear equations with constant coefficients equivalent to the use of Jordan Canonical form of the associated matrix
Theoretically sound approach to the method of Laplace transforms
Elaboration of properties of Legendre and Bessel functions and inclusion of all the major numerical techniques for solving differential equations along with a derivation of the Runge Kutta formula

All the methods given in the book are explained by the help of solved examples. An adequate number of unsolved exercises have also been provided on each topic.

Contents

Introduction and basic concepts
Solvable first order equations
Applications of first order equations
Theoretical considerations
Linear differential equations I
Linear differential equations II
Systems of differential equations
Laplace Transforms
Power series methods
Numerical methods

Answers to selected exercises
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Alpha
Auteur(s)	Bindhyachal Rai, D.P. Choudhury, H.I. Freedman
Parution	21/04/2002
Nb. de pages	464
Format	19 x 25
Couverture	Relié
Poids	1045g
Intérieur	Noir et Blanc
EAN13	9781842650684
ISBN13	978-1-84265-068-4