Differential Equations for Engineers: The Essentials [Paperback]

This book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs), and concisely presents the topics of most use to engineers. It introduces each topic with a motivating application drawn from electrical, mechanical, and aerospace engineering. The text has reviews of foundations, step-by-step explanations, and sets of solved problems. It fosters students abilities in the art of approximation and self-checking. The book addresses PDEs with and without boundary conditions, which demonstrates strong similarities with ordinary differential equations and clear illustrations of the nature of solutions. Furthermore, each chapter includes word problems and challenge problems. Several extended computing projects run throughout the text.

Introduction. First-Order Linear Ordinary Differential Equations. First-Order Nonlinear Ordinary Differential Equations. Existence, Uniqueness, and Qualitative Analysis. Second-Order Linear Ordinary Differential Equations. Higher-Order Linear Ordinary Differential Equations. Laplace Transforms. Systems of First-Order Ordinary Differential Equations. Partial Differential Equations.

The book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs). With the use of step-by-step explanations, a review of necessary foundations, and sets of solved problems, it provides concrete clarification to concepts students find abstract (e.g., eigenvalues and eigenvectors

David V. Kalbaugh received his B.S. from the Johns Hopkins University in 1967; M.S. from Stanford University in 1968; and doctorate from University of Maryland in 1974. He was exposed to many practical problems across engineering and physics at Johns Hopkins University Applied Physics Laboratory, where he eventually retired as Assistant Director in 2005. Dr. Kalbaugh developed this text ln