Debra deposits $1400 into an account that earns interest at a rate of 3.77% compounded continuously. a) Write the differential equation that represents A(t), the value of Debra's account after t years. b) Find the particular solution of the differential equation from part (a). c) Find A(4) and A'(4) A'(4) d) Find A(4) and explain what this number represents. dA dt b) The particular solution is A(t) = c) The values for A(4) and A'(4) are A(4) = $ and A'(4)= $ per year. (Round to two decimal places as needed.) a) The differential equation is A'(4) d) A(4) (Round to four decimal places as needed.) What does this number represent? A. It represents the amount in the account after 4 years.