Ordinary Differential Equations and Applications I: With Maple Examples
Abstract
Ordinary Differential Equations and Applications I: with Maple Examples blends the theory and practical applications of Ordinary Differential Equations (ODEs) with real-world examples, using Maple and MapleSim software. It covers fundamental ODE concepts, from first-order equations to more advanced topics like the Laplace and Mellin transforms, Fourier series, and power series solutions. The book includes detailed Maple examples demonstrating symbolic solutions, 2D and 3D plotting, and animated solution paths.
Designed for undergraduate and postgraduate students in mathematics, physics, engineering, and other fields, it is also a valuable resource for professionals. The book addresses various applications in biology, economics, chemistry, and medicine.
Key Features:
- In-depth coverage of ODEs with real-world applications.
- Maple examples for symbolic solutions, plotting, and animations.
- Exploration of Laplace, Mellin, and Fourier series methods.
