Please use the topic I have stated using the interest rate model regarding a type of loan/mortgage.

1. Select a topic that can be modeled by a first-order ordinary differential equation. Note that your topic should generate a differential equation that can be solved by the techniques in this course. Chapter 3 of our text introduces the modeling process and examples of applications that can be found throughout the text. Additionally, it is not hard to find interesting applications by searching the internet. Topic: Interest rate models involving loans or investments, such as determining the largest loan affordable that can be paid off in a given time period when considering a fixed-rate mortgage with monthly payments 2. Model the topic using a differential equation. a) Draw any visuals (diagrams) that exemplify the model and facilitate understanding of the modeling process. Your visuals should represent the topic and help develop the differential equation. b) Write the differential equation that models your topic of choice. Define all the variables used in the model, and be sure to include initial conditions. c) Classify the differential equation, including the order and if it is linear or nonlinear. 3. Solve the differential equation using the techniques from this course. a) Provide a valid solution to the differential equation. Be sure to apply the initial conditions that you developed. b) Discuss the method used to solve the differential equation. Explain all steps in arriving at the solution, writing in paragraph form and in complete sentences