Introduction to Differential Equations

INTRODUCTION TO DIFFERENTIAL EQUATIONS is designed primarily to serve 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 the fundamental concepts and the techniques for solving ordinary and partial differential equations.K EY FEATURES:*A complete course of differential Equations*Perfect for self-study and class room*Useful for beginners as well as experts*More than 500 worked out examples*Large number of exercises*More than 600 multiple choice questions with answers*Suitable for GATE, NET, JAM, JEST, IAS, SSC examinations