Question

A tank originally contains 130 liters of water with 10 grams of salt in solution. Beginning at t=0, water containing 0.1 grams of salt per liter flows into the tank at a rate of 2 liters per minute and the uniform mixture drains from the tank at a rate of 2 liters per minute. Letting t be time in minutes and Q be the amount of salt in the tank at time t measured in grams, formulate an initial value problem modeling the amount of salt in the tank at any time.

a) dQ/dt=

b) Q(0)=

c) Find the solution of the initial value problem, Q(t)=

Answer 1

at t = 0, Q(0) = 10

Using this initial value , Q(t) become

C = 10-13 = -3

Thus ,

answer