A tank holds 2000 liters of water in which 400 grams of salt have been dissolved. Saltwater with a concentration of 2 grams/liter is pumped in at 2 liters/minute and the well mixed saltwater solution is pumped out at the same rate. Write initial the value problem for: a) The mass (i.e number of grams) of salt in the tank at time t. dS dt S(0) = 200 The solution is: S(t) = = b) The concentration, in grams/liter, of salt in the tank at time t (this should be very easy). = dt C(0) = The solution is: C(t) = symbolic formatting help

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