ABSTRACT
In this chapter, we study in detail a variety of methods for obtaining solutions to first-order difference equations. Section 2.2 presents a general method for constructing the solution to the linear equation with variable coefficients. The next two sections are concerned with particular forms of the linear difference equation. In Section 2.5, we show how continued fractions can be used to obtain solutions in the form of a series. Finally, in Sections 2.7 and 2.8, we investigate the general nonlinear, first-order difference equation by means of geometric and expansion techniques.
