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Differential Equations: A Problem Solving Approach Based on MATLAB

Differential Equations: A Problem Solving Approach Based on MATLAB

Hardcover

General Mathematics

ISBN10: 1138501603
ISBN13: 9781138501607
Publisher: CRC Press
Published: Mar 28 2018
Pages: 458
Weight: 1.80
Height: 1.00 Width: 6.14 Depth: 9.21
Language: English

The book takes a problem solving approach in presenting the topic of differential equations. It provides a complete narrative of differential equations showing the theoretical aspects of the problem (the how's and why's), various steps in arriving at solutions, multiple ways of obtaining solutions and comparison of solutions. A large number of comprehensive examples are provided to show depth and breadth and these are presented in a manner very similar to the instructor's class room work. The examples contain solutions from Laplace transform based approaches alongside the solutions based on eigenvalues and eigenvectors and characteristic equations. The verification of the results in examples is additionally provided using Runge-Kutta offering a holistic means to interpret and understand the solutions. Wherever necessary, phase plots are provided to support the analytical results. All the examples are worked out using MATLAB(R) taking advantage of the Symbolic Toolbox and LaTex for displaying equations. With the subject matter being presented through these descriptive examples, students will find it easy to grasp the concepts. A large number of exercises have been provided in each chapter to allow instructors and students to explore various aspects of differential equations.

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General Mathematics