Having some trouble with this problem. If you could show steps that would be great for me to learn.

A pond initially contains 1,000,000 gal of water and an unknown amount of an undesirable chemical. Water containing 0.06 g of this chemical per gallon ows into the pond at a rate of 200 gal/hr. The mixture ows out at the same rate, so the amount of water in the pond remains constant. Assume that the chemical is uniformly distributed throughout the pond. (a) Write a differential equation for the amount of chemical in the pond at any time. (Let q denote the amount of chemical in the pond at time t.) = grams dt hour (b) How much of the chemical will be in the pond after a very long time? l grams Does this limiting amount depend on the amount that was present initially? The limiting amount ---Select--- a depend on the amount that was present initially