This book offers readers a primer on the theory and applications of Ordinary Differential
Equations. The style used is simple yet thorough and rigorous. Each chapter ends with a broad
set of exercises that range from the routine to the more challenging and thought-provoking.
Solutions to selected exercises can be found at the end of the book. The book contains many
interesting examples on topics such as electric circuits the pendulum equation the logistic
equation the Lotka-Volterra system the Laplace Transform etc. which introduce students to a
number of interesting aspects of the theory and applications. The work is mainly intended for
students of Mathematics Physics Engineering Computer Science and other areas of the natural
and social sciences that use ordinary differential equations and who have a firm grasp of
Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also
studies a few more advanced topics such as Stability Theory and Boundary Value Problems which
may be suitable for more advanced undergraduate or first-year graduate students. The second
edition has been revised to correct minor errata and features a number of carefully selected
new exercises together with more detailed explanations of some of the topics. A complete
Solutions Manual containing solutions to all the exercises published in the book is
available. Instructors who wish to adopt the book may request the manual by writing directly to
one of the authors.
