EAN: 9783319257341

COMPACT TEXTBOOKS IN MATHEMATICS DIFFERENTIAL...

This book presents a variety of techniques for solving ordinary differential equations
analytically and features a wealth of examples. Focusing on the modeling of real-world
phenomena  it begins with a basic introduction to differential equations  followed by linear
and nonlinear first order equations and a detailed treatment of the second order linear
equations. After presenting solution methods for the Laplace transform and power series  it
lastly presents systems of equations and offers an introduction to the stability theory.To help
readers practice the theory covered  two types of exercises are provided: those that illustrate
the general theory  and others designed to expand on the text material. Detailed solutions to
all the exercises are included.The book is excellently suited for use as a textbook for an
undergraduate class (of all disciplines) in ordinary differential equations.

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