Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order. The book transitions smoothly from first-order to higher-order equations, allowing readers to develop a complete understanding of the related theory.
Featuring diverse and interesting applications from engineering, bioengineering, ecology, and biology, the book anticipates potential difficulties in understanding the various solution steps and provides all the necessary details. Topical coverage includes:
First-Order Differential Equations
Higher-Order Linear Equations
Applications of Higher-Order Linear Equations
Systems of Linear Differential Equations
Systems of Nonlinear Differential Equations
In addition to plentiful exercises and examples throughout, each chapter concludes with a summary that outlines key concepts and techniques. The book's design allows readers to interact with the content, while hints, cautions, and emphasis are uniquely featured in the margins to further help and engage readers.
Written in an accessible style that includes all needed details and steps, Ordinary Differential Equations is an excellent book for courses on the topic at the upper-undergraduate level. The book also serves as a valuable resource for professionals in the fields of engineering, physics, and mathematics who utilize differential equations in their everyday work.
An Instructors Manual is available upon request. Email firstname.lastname@example.org for information. There is also a Solutions Manual available. The ISBN is 9781118398999.
Keywords: Differential Equations, Ordinary differential equations, first order euqations, second order equations, constant coefficients, fourth order equations, linear equations, nonlinear equations, Maple, Mathematica, MATLAB, Laplace transform, higher-order equations, partial fraction expansions, Gauss elimination