Abstract
An ordinary differential equation may be defined as an equation that involves a single unknown function of a single variable and some finite number of its derivatives. However, a partial differential equation—as distinguished from an ordinary differential equation—is an equation that involves an unknown function of more than one independent variable, together with partial derivatives of the function. Two classes of second-order equations that can be solved by successively solving two first-order equations have been considered; methods of solution for first-order equations may be used in this regard. Many natural laws of science could be formulated as differential equations. This chapter discusses some phenomena whose mathematical description leads to first-order equations.
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