Introduction to Differential Equations

ISBN: 9781783324668 出版年：2017 页码：625 Kalipada Maity Alpha Science

INTRODUCTION TO DIFFERENTIAL EQUATIONS is designed primarily as a textbook for under graduate and post graduate students in various programs in science and engineering. This comprehensive and well-organized book provides various well known mathematical techniques such as the variation of parameters, Bernoullis, Clairaut, Frobenius, Sturm-Liouville theory, Fourier, Laplace, Charpit, Lagrange, separation of variables, Rodrigue, etc. The work of the book is on existence and uniqueness of solution of differential equations, simultaneous differential equations, stability of nonlinear differential equations with Lyapunov’s stability theorem, series solutions, singular solution, Bessel functions, Legrendre functions, Chebyshev polynomial, Hypergeometric functions, Laguerre equations, Hermite equations, etc. Worked-out examples and multiple choice questions with answers for JAM, GATE, NET, IAS examinations are included in every chapter to enable the students to assimilate fundamental concepts and techniques for solving ordinary and partial differential equations.