Ordinary Differential Equations: The Calculus of Change

“Ordinary Differential Equations: The Calculus of Change” is a comprehensive guide unraveling the intricate world of differential equations, from first-order to general linear equations. This book navigates through a spectrum of topics, including power series methods, Laplace transforms, and phase plane analysis, providing a robust toolkit for tackling differential equations. With a focus on systems modeling and matrix operations, it bridges theory with practical applications, offering insights into systems of linear differential equations.

Moreover, the book explores the nuances of discontinuous and impulse functions while addressing the uniqueness and existence theorems. Whether dissecting second-order equations or engaging with the complexities of ordinary differential equations, this resource serves as an invaluable companion for students and professionals seeking a deep understanding of the calculus of change, providing both theoretical foundations and practical tools for solving a wide array of differential equations.

Keywords

Laplace Transform, Discontinuous Functions, Existence Theorem, First Order Differential Equations, General Linear Differential Equations, Impulse Functions, Matrix Operations, Ordinary Differential Equations, Phase Plane Analysis, Power Series Methods, Second Order Differential Equations, Systems Modeling, Systems Of Linear Differential Equations, Uniqueness Theorem