Ordinary Differential Equations
تاريخ النشر: 01/01/2002
الناشر: منشورات جامعة سيدة اللويزة
نبذة الناشر:Topics are developed gradually, from the very basic to the more advanced, in a smooth transitional manner. The author addresses in chapter 1 the basic concepts of ordinary differential equations, the existence and uniqueness of their solutions, and some numerical techniques for solving them such as Euler, Runge-Kutta, Taylor, and ...Picard methods. Then the author devotes chapter 2 to the presentation of separable, linear, homogeneous, and exact first order differential equations. Chapter 3, concentrates on developing the methods of variation of parameters, undetermined coefficients , and Green’s function for solving linear second and higher order differential equations. Chapter 4 concentrates on Bessel’s equation, Gamma function, and the frobenius method for presenting a series of solutions of non-constant coefficient linear differential equations. Chapter 5 introduces the Laplace transform and its inverse to solve initial value problems. Chapter 6, the last one, introduces the methods of Laplace transform, eigenvalue-eigenvector, and exponential matrix for solving linear systems of differential equations.
The book is accompanied by a Solutions Manual, with presents mainly the solutions to all the exercises listed in the book. إقرأ المزيد