A pond initially contains 1,000,000 gal of water and anunknown amount of an undesirable chemical. Water containing 0.01 gram of this chemical pergallon flows into the pond at a rate of 300 gal/min. The mixture flows out at the same rate sothe amount of water in the pond remains constant. Assume that the chemical is uniformly distributed throughout the pond.(a) Write a differential equation whose solution is the amountof chemical in the pond atany time.(b) How much of the chemical will be in the pond after a verylong time? Does this limitingamount depend on the amount that was present initially?