Research on an Exponential Curve with First Order Term of Time

In view of the non-stationary sequences mainly caused by deterministic factors in the application fields of economy and engineering and nature, this paper proposes an exponential curve with first order term of time on the basis of classical exponential curve and modified exponential curve. Combining with the structure of the new model, the specific expressions of parameters in the model are derived by the idea of piecewise summation. According to these expressions, the specific steps of establishing and solving the model are given in detail with a specific example.