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Ordinary And Partial Differential Equations : Theory And Applications

Nita H. Shah

ISBN 10: 8120341023 / ISBN 13: 9788120341029
Published by PHI Learning
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Contents Preface  1 Introduction of Ordinary Differential Equation  2 Differential Equations of the First Order and First Degree 3 Differential Equations of First Order and of Higher Degree 4 Linear Differential Equations with Constant Coefficients 5 Homogeneous Linear Differential Equations with Variable Coefficients 6 Exact Differential Equations and Differential Equations of Higher Order 7 Linear Differential Equations of Second Order 8 Simultaneous Linear Differential Equations 9 Total Differential Equations 10 Partial Differential Equations PDE of First Order 11 Linear Partial Differential Equations with Constant Coefficients 12 Partial Differential Equations of Order Two with Variable Coefficients 13 Power Series Method 14 Bessel?s Equation and Bessel?s Function 15 Legendre?s Equation and its Polynomials 16 Laplace Transform and its Applications 17 Applications of Partial Differential Equations of Order Two 18 Fourier Transforms and its Applications to Partial Differential Equations Index  This book presents the theoretical concepts of methods of solutions of ordinary and partial differential equations as well as equips the students with the various tools and techniques to model different physical problems using such equations The book discusses the basic concepts of differential equations different methods of solving ordinary differential equations and the solution procedure for ordinary differential equations of first order and higher degree It gives the solution methodology for linear differential equations with constant and variable coefficients and linear differential equations of second order The book elaborates simultaneous linear differential equations total differential equations and partial differential equations along with the series solution of second order linear differential equations It also covers Bessel?s and Legendre?s equations and functions and the Laplace transform Finally the book revisits partial differential equations to solve the Laplace equation wave equation and diffusion equation and discusses the methods to solve partial differential equations using the Fourier transform A large number of solved examples as well as exercises at the end of chapters help the students comprehend and strengthen the underlying concepts The book is intended for undergraduate and postgraduate students of Mathematics BABSc MAMSc and undergraduate students of all branches of engineering BEBTech as part of their course in Engineering Mathematics 440 pp. Bookseller Inventory # 86377

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Title: Ordinary And Partial Differential Equations ...

Publisher: PHI Learning

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