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.

• • A complete course of differential Equations • Perfect for self-study and classroom • Useful for beginners as well as experts • More than 500 worked examples • Large number of exercises • More than 600 multiple choice questions with answers • Suitable for GATE, NET, JAM, JEST, IAS, SSC examinations

Preface / Acknowledgments / Fundamental Concept of Differential Equations / First order and First Degree Ordinary Differential Equations / First order and Higher Degree Ordinary Differential Equations / Higher Order and First Degree Ordinary Differential Equations / Second Order Initial-value, Boundary-value and Eigenvalue Problems / Simultaneous Linear Differential Equations / Stability Analysis of Differential Equations / Geometrical and Physical Applications / Total (Or Pfaffian) Differential Equations / Numerical Solution of Differential Equations / Fourier Transform / Laplace Transformation / Inverse Laplace Transformation / Series Solution of Ordinary Differential Equations / Legendre Equations / Chebyshev Polynomials / Bessel Functions / More Special Functions / Partial Differential Equations.

Under & Postgraduate Students, Professionals & Researchers