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Textbook on Ordinary Differential Equations: A Theoretical Approach

Textbook on Ordinary Differential Equations: A Theoretical Approach

Hardcover

AlgebraGeneral Mathematics

ISBN10: 8770227632
ISBN13: 9788770227636
Publisher: River Publishers
Published: Dec 29 2022
Pages: 290
Weight: 1.28
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English

Many scientific and real-world problems that occur in science, engineering, and medicine can be represented in differential equations. There is a vital role for differential equations in studying the behavior of different types of real-world problems. Thus, it becomes crucial to know the existence and uniqueness properties of differential equations and various methods of finding differential equation solutions in explicit form. It is also essential to know different kinds of differential equations in terms of eigenvalues, termed eigenvalue problems, and some special functions used in finding the solution to differential equations. The study of nonlinear problems also plays a significant role in different real-world situations. There is a necessity to know the behavior of solutions of nonlinear differential equations. Still, there are very few forms of differential equations whose solution can be found in explicit form. For the differential equations whose solutions cannot be found in explicit form, one has to study the properties of solutions of the given differential equation to guess an approximate solution of it. This book aims to introduce all the necessary topics of differential equations in one book so that laymen can easily understand the subject and apply it in their research areas. The novel approach used in this book is the introduction of different analytical methods for finding the solution of differential equations with sufficient theorems, corollaries, and examples, and the geometrical interpretations in each topic.

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Algebra