An Introduction to Differential Equations using MATLAB

Offering an introduction to how the symbolic, numerical, and graphical capabilities of MATLAB can be used to develop a thorough understanding of differential equations algorithms, this book provides the reader with numerous applications, m-files, and practical examples to fortify learning. Balancing theoretical concepts with computational speed and accuracy, the book includes numerous short programs in MATLAB that can be used to solve problems involving first-and higher-order differential equations, Laplace transforms, linear systems of differential equations, numerical solutions of differential equations, computer graphics, and more. The author emphasizes the basic ideas of analytical and numerical techniques and the uses of modern mathematical software (MATLAB) rather than relying only on complex mathematical derivations, making it more accessible and digestible to engineers, mathematician, computer scientists, and physicists or for use as a textbook in applied or computational courses.

Table of Contents

• First-Order Differential Equations
• Higher-Order Linear Differential Equations
• Laplace Transforms
• Linear Systems of Differential Equations
• Series Solutions of Differential Equations
• Numerical Solutions of Differential Equations
• Partial Differential Equations
• Index.