Engineering Differential Equations: Theory and Applications

Introduction and preliminaries -- First-order ordinary differential equations -- Second-order linear constant-coefficient ordinary differential equations -- Single degree of freedom vibrations -- Variable-coefficient linear ordinary differential equations -- Systems of first-order linear constant-coefficient ordinary differential equations -- Applications of systems of first-order equations -- The Laplace transform -- Classical control theory : analysis -- Classical control theory : design -- Partial differential equations -- Numerical methods -- Introduction to nonlinear systems.