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.
Spis treści
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
O autorze
MICHAEL D. GREENBERG, Ph D, 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.