May 2022
Intermediate to advanced
487 pages
9h 22m
English
Content preview from Differential Equations, 3rd Edition
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1What is a Differential Equation?
The concept of a differential equation
Characteristics of a solution
Finding a solution
1.1 Introductory Remarks
A differential equation is an equation relating some function f to one or more of its derivatives. An example is
(1.1)
Observe that this particular equation involves a function f together with its first and second derivatives. Any given differential equation may or may not involve f or any particular derivative of f. But, for an equation to be a differential equation, at least some derivative of f must appear. The objective in solving an equation like (1) is to find the functionf. Thus we already perceive a fundamental new paradigm: When ...
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