2 -1 0 1 2 25 12.5 0-12.5-25 x y Let us show that the family of solutions y= Cex, C2 R, is the general solution. Indeed, if y(x) is a solution that takes positive value somewhere then it is positive in. (iii) introductory differential equations. Familiarity with the following topics is especially desirable: + From basic differential equations: separable differential equations and separa-tion of variables; and solving linear, constant-coefficient differential equations using characteristic equations. Ordinary and Partial Differential Equations. Chand Publishing. This book has been designed for Undergraduate (Honours) and Postgraduate students of various Indian Universities.A set of objective problems has been provided at the end of each chapter which will be useful to the aspirants of competitve examinations.
Author: Hans StephaniGenre: Mathematics
Release: 1989
Publisher: Cambridge University Press
Pages: 260
Ordinary Differential Equations Pdf Books
ISBN: 0521366895
In many branches of physics, mathematics, and engineering, solving a problem means solving a set of ordinary or partial differential equations. Nearly all methods of constructing closed form solutions rely on symmetries. The emphasis in this text is on how to find and use the symmetries; this is supported by many examples and more than 100 exercises. This book will form an introduction accessible to beginning graduate students in physics, applied mathematics, and engineering. Advanced graduate students and researchers in these disciplines will find the book a valuable reference.
INTRODUCTION TO THEORY OF ORDINARY DIFFERENTIAL EQUATION
- Author : V. DHARMAIAH
- Publisher : PHI Learning Pvt. Ltd.
- Release Date : 2012-09-19
- Genre: Mathematics
- Pages : 420
- ISBN 10 : 9788120346666
Differential Equation Book Pdf Download
INTRODUCTION TO THEORY OF ORDINARY DIFFERENTIAL EQUATION Book Description :
This systematically-organized text on the theory of differential equations deals with the basic concepts and the methods of solving ordinary differential equations. Various existence theorems, properties of uniqueness, oscillation and stability theories, have all been explained with suitable examples to enhance students’ understanding of the subject. The book also discusses in sufficient detail the qualitative, the quantitative, and the approximation techniques, linear equations with variable and constants coefficients, regular singular points, and homogeneous equations with analytic coefficients. Finally, it explains Riccati equation, boundary value problems, the Sturm–Liouville problem, Green’s function, the Picard’s theorem, and the Sturm–Picone theorem. The text is supported by a number of worked-out examples to make the concepts clear, and it also provides a number of exercises help students test their knowledge and improve their skills in solving differential equations. The book is intended to serve as a text for the postgraduate students of mathematics and applied mathematics. It will also be useful to the candidates preparing to sit for the competitive examinations such as NET and GATE.