Elementary differential equations and boundary value problems

Differential Equations can be defined as a mathematical equation that can be used to find an unknown function composed of one or several variables. This mathematical concept is of great use in fields such as economics, physics, and engineering. Boundary value problems refer to the differential equations along with few restraints, which are known as boundary conditions. Elementary Differential Equations And Boundary Value Problems is a book that covers the theory of differential equations, as well as their practical applications in the field of engineering, and sciences. Through the course of this book, the authors place a great deal of emphasis on analysis, approximation, and solution.

In total, there are 11 chapters in this book, covering several different concepts pertaining to this field. The chapters include Series Solutions Of Second Order Linear Equations, The Laplace Transform, Nonlinear Differential Equations And Fourier Series, Boundary Value Problems And Sturm-Liouville Theory, Second Order Linear Equations, First Order Linear Equations, Partial Differential Equation And Fourier Series, Nonlinear Differential Equations And Stability, Higher Order Linear Equations, Numerical Methods, and Systems Of First Order Linear Equations.

By making use of problems, illustrations, and technology, the readers are able to gain a sound understanding of the subject. This book also comes along with historical footnotes, which trace the development of this field. All in all, this book is a must-have for individuals who desire to have sound knowledge of elementary concepts of differential equations, prior to advanced studies. This book is also part of the syllabus at IIT, for students of Biotechnology, and Chemical Engineering.