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1.1 Preliminaries

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In this section, we give a brief introduction to some key concepts in differential equations. A standard classification and some general properties are presented in Trinities below.

 A differential equation is a relation between an unknown function and its derivatives.

 If the differentiation in the equation is with respect to only one variable, e.g. , (or in ), then the equation is called an ordinary differential equation (ODE).

An Introduction to the Finite Element Method for Differential Equations

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