Features a balance between theory, proofs, and examples and provides applications across diverse fields of study Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order.
Autorentext
MICHAEL D. GREENBERG, PhD, is Professor Emeritus of Mechanical Engineering at the University of Delaware where he teaches courses on engineering mathematics and is a three-time recipient of the University of Delaware Excellence in Teaching Award. Greenberg's research has emphasized vortex methods in aerodynamics and hydrodynamics.
Inhalt
Chapter 1 First-Order Differential Equations 1
Chapter 2 Higher-Order Linear Equations 34
Chapter 3 Applications of Higher-Order Equations 56
Chapter 4 Systems of Linear Differential Equations 70
Chapter 5 Laplace Transform 107
Chapter 6 Series Solutions 127
Chapter 7 Systems of Nonlinear Differential Equations 148
CAS Tutorial 167
Chapter 1. Maple 167
Chapter 2. MATLAB 172
Chapter 3. Mathematica 176
Chapter 4. Maple for this Text, by Chapter 180