The book "A First Course in Differential Equations with Modeling Applications" is a comprehensive guide to understanding differential equations and their applications in various fields. The 12th edition, written by Dennis Zhang, et al. , provides readers with a thorough understanding of the subject matter, making it an essential resource for anyone looking to gain proficiency in this area. This book offers a unique approach to learning differential equations by emphasizing the importance of modeling and practical applications. It covers topics such as linear differential equations, systems of differential equations, numerical methods, and dynamical systems, providing readers with a solid foundation in the subject. The book begins by introducing the basic concepts of differential equations and their relevance to real-world problems. It then delves into more advanced topics like linear differential equations, Laplace transforms, and Fourier series, ensuring that readers have a strong grasp of the fundamentals before moving on to more complex subjects. As the reader progresses through the book, they will learn how to apply differential equations to solve problems in fields like physics, engineering, and economics. One of the standout features of this book is its focus on modeling and applications.

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