This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering curricula. This text provides a streamlined and efficient treatment of material normally covered in three courses. Ultimately, engineering students study mathematics in order to be able to solve problems within the engineering realm. Engineering Differential Equations: Theory and Applications guides students to approach the mathematical theory with much greater interest and enthusiasm by teaching the theory together with applications. Additionally, it includes an abundance of detailed examples. Appendices include numerous C and FORTRAN example programs. This book is intended for engineering undergraduate students, particularly aerospace and mechanical engineers and students in other disciplines concerned with mechanical systems analysis and control. Prerequisites include basic and advanced calculus with an introduction to linear algebra.

Preface.- Prerequisites.- Course Structure.- Introduction and Preliminaries.- Ordinary First Order Equations.- Ordinary Second Order Linear Constant Coefficient Equations.- Single Degree fo Freedom Vibrations.- Ordinary Second Order Linear Variable Coefficient Equations.- Systems of Ordinary First Order Linear Constant Coefficient Equations.- Applications of Systems of First Order Equations.- The Laplace Transform.- Basic Control Theory: Analysis.- Basic Filter Theory.- Basic Control Theory: Design.- Partial Differential Equations.- Numerical Methods.- Introduction to Nonlinear Systems.- Perturbation Methods.- Lagrange's Equations.- System Identification.- Symmetry and Transformation Methods.- A: Some Complex Variable Theory.- B: Linear Algebra Review.- C: Detailed Computation.- D: Example Programs.- References.- Index.