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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