Abstract
The first-order equations are by no means uncommon. This chapter explains the subject of linear and quasi-linear first-order equations. A first order equation, dy/dx = f(x,y), is an equation and a function of two variables that are defined on a region in the xy-plane. The equation is of first order because it involves only the first derivative dy dx (and not higher-order derivatives). The general solution to a first-order differential equation is a solution that contains all possible solutions. The general solutions always contain an arbitrary constant but having this property does not mean that a solution is the general solution. That is, a solution can contain an arbitrary constant without being the general solution.
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