To eradicate unwanted species, 2.2 kilograms of the fish poison rotenone are mixed into a lake. The volume of the lake is 3600 cubic meters. A stream of clean water flows into the lake at a rate of 650 cubic meters per day. The clean water mixes thoroughly with the the water in the lake, then the mixed lakewater flows out through another stream at the same rate. Let P(t) be the number of kilograms of poison in the lake t days after the rotenene was introduced. A) Assume that rotenone is a stable chemical that does not decay in the environment. Find a differential equation that describes the rate of change of P after t days. The right hand side of your equation will be a formula; it may depend on the variables t and P but not on any other variables. (In your formula write P, instead of P(t), for the amount of poison in the lake to make the computer happy.)