Differential Equations: A Problem Solving Approach Based on MATLAB

Differential Equations: A Problem Solving Approach Based on MATLAB provides a complete narrative of differential equations showing the theoretical aspects of the problem (the hows and whys), 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 an instructor's classroom 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. Examples in the book are worked out using MATLAB and Symbolic Math Toolbox. Exercises have been provided in each chapter to allow instructors and students to explore various aspects of differential equations.