Engineering Differential Equations: Theory and Applications (Hardcover)
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.