Differential Equations: A Problem Solving Approach Based on MATLAB

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The book provides a problem-solving approach to differential equations, with a complete narrative of theoretical aspects, steps to solutions, multiple ways of obtaining solutions, and comprehensive examples. It also includes verification of results using Runge-Kutta and phase plots. Exercises are provided to explore various aspects of differential equations. Format: Paperback / softback Length: 448 pages Publication date: 31 March 2021 Publisher: Taylor & Francis Ltd The book adopts a problem-solving approach to presenting the topic of differential equations. It offers a comprehensive narrative that encompasses the theoretical aspects of the problem, various steps involved in arriving at solutions, multiple approaches for obtaining solutions, and a comparison of these solutions. Numerous comprehensive examples are provided to demonstrate the depth and breadth of the subject matter. These examples are presented in a manner similar to the instructor's classroom work, featuring solutions derived from Laplace transform-based approaches, as well as solutions based on eigenvalues and eigenvectors, and characteristic equations. Furthermore, the verification of the results in these examples is accomplished using Runge-Kutta, providing a holistic means to interpret and understand the solutions. Phase plots are also provided to support the analytical findings whenever necessary. All examples are solved using MATLAB®, leveraging the Symbolic Toolbox and LaTex for displaying equations. By presenting the subject matter through these descriptive examples, students will find it easier to grasp the concepts. Each chapter includes a substantial number of exercises designed to allow instructors and students to explore various aspects of differential equations. Weight: 848g Dimension: 234 x 156 (mm) ISBN-13: 9780367781378 Show more