2. (a) Write a DE that can be used to model the credit card balance of someone who is charged a monthly interest rate of 1.2% and makes payments of $240 per month. Let B(t) to be the credit-card balance at time t (in months). SUGGESTED EVIDENCE: You should write a differential equation indicating what the terms represent / how you developed the equation. (b) You should get a separable DE for part 2a Find the general solution of this DE. SUGGESTED EVIDENCE: You should show your work for finding the general solution (c) Find the particular solution that has B(0) = 10000. SUGGESTED EVIDENCE: You should show work for how you found the particular solu tion. (d) If the initial balance it $10000, how long will it take before the balance reaches zero? SUGGESTED EVIDENCE: You should show work/a figure to explain how you found this