Abstract
Differential equations is a reflection of discrete variables on the value and change the law. Through the establishment of one or more discrete variables value, which satisfies the balance in the relationship so as to establish differential equations.
In this paper, first introduced Differential Equations Differential Operators, a differential equation in the basic knowledge; In the second chapter describes the differential equations of several of the more commonly used method : to be determined coefficient, z Transform Solution, Matlab solution, but also to the stability of differential equations were discussed; In the third chapter, First note the difference equation modeling and interpretation, Then respectively illustrate the differential equation model in raising education funding model, population control and forecasts, old-age pension, slimming topical issues such as the problems of practical application and the corresponding mathematical model with specific solutions.
Key words: Difference equation Mathematical Model Economy matlab Constant coefficient