Description
Differential Equations with Applications and Historical Notes provides a comprehensive introduction to ordinary differential equations, combining mathematical methods with applications and historical perspectives. The book covers first-order differential equations, higher-order linear equations, systems of differential equations, series solutions, Laplace transforms, and numerical and qualitative methods. It also demonstrates applications of differential equations in areas such as mechanics, physics, and other scientific disciplines. Historical notes throughout the book highlight the development of differential equations and the contributions of important mathematicians, connecting mathematical techniques with their historical origins. Through theoretical explanations, worked examples, applications, and exercises, the book develops students' ability to formulate and solve differential equations and understand their role in modeling real-world phenomena.
