MTH 256 Lecture 1: 01072019
14 Jan 2019
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Document Summary
A di erential equation is an equation containing one or more derivatives of an unknown function. We use di erential equations to model many things in this world such as population growth/decay, heat transfer, and amount of medicine in a person over time. Before we start solving di erential equations, some terminologies so that we will be able to categorize them. A partial di erential equation is a di erential equation which contains partial derivatives. ( single variable. An ordinary di erential equation is a di erential equation without any partial derivatives. i. The order of a de is the order of the highest derivative in the equation. A de is said to be homogeneous if every non-zero term contains y or its derivatives. A de is linear in y if it can be expressed such that there is no term that contains a product of y and its derivatives or their powers.
