O. I am confused on the steps for this one.

Debra deposits $600 into an account that earns interest at a rate of 3.82% 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(6) and A'(6). d) Find A(6) and explain what this number represents. a) The differential equation is $5 b) The particular solution is A(t) = c) The values for A(6) and A'(6) are A(6) = $ and A'(6) = $| per year. (Round to two decimal places as needed.) A'(6) A(6) (Round to four decimal places as needed.) What does this number represent? O A. It represents the rate of change at year 6