Introduction to Differential Equations
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A differential equation is a mathematical expression that relates a function to its derivatives. When applying a differential equation, physical quantities are represented by functions, and their rates of change are denoted by derivatives, defining the connection between them. These equations come in various types, including ordinary, partial, and nonlinear differential equations. Ordinary differential equations involve an unknown function of a single real or complex variable x, its derivatives, and given functions of x. On the other hand, partial differential equations feature unknown multiva...
A differential equation is a mathematical expression that relates a function to its derivatives. When applying a differential equation, physical quantities are represented by functions, and their rates of change are denoted by derivatives, defining the connection between them. These equations come in various types, including ordinary, partial, and nonlinear differential equations. Ordinary differential equations involve an unknown function of a single real or complex variable x, its derivatives, and given functions of x. On the other hand, partial differential equations feature unknown multivariable functions and their partial derivatives. A non-linear differential equation is one where the relationship between the unknown function and its derivatives is not linear. Through this book, constant effort has been made to make the complex subject of differential equations easy and informative for the students. The topics covered in it deal with the core aspects of the subject. Coherent flow of topic, student-friendly language and extensive use of examples make this book an invaluable source of knowledge.
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