Ordinary Differential Equations and Applications II: with Maple Illustrations
Abstract
Ordinary Differential Equations and Applications II: With Maple Illustrations integrates fundamental theories of Ordinary Differential Equations (ODEs) with practical applications and Maple-based solutions. This comprehensive textbook covers vector-valued differential equations, matrix solutions, stability methods, and periodic systems. Using Maple and MapleSim software, readers learn symbolic solutions, plotting techniques, 2D/3D animation for ODE problems, and simulations for engineering systems.
This book is ideal for undergraduate and postgraduate students in mathematics, physics, economics, and engineering, as well as researchers and professionals needing advanced applications of ODEs. Key Features:
- Comprehensive introduction to ODE concepts and real-life applications
- Solutions for initial value problems using Maple and MapleSim software
- Analysis of stability using Routh-Hurwitz and Lyapunov methods
- Models of neural firing, avian influenza, and biological populations
- Practical guidance on MapleSim for multi-domain simulations, code generation, and Monte Carlo simulation
