Question

Suppose that we have a system consisting of two interconnected tanks, each containing a brine solution. Tank A contains x(t) pounds of salt in 200 gallons of brine, and tank B contains y(t) pounds of salt in 300 gallons of brine. The mixture in each tank is kept uniform by constant stirring. When t = 0, brine is pumped from tank A to tank B at 20 gallons/minute and from tank B to tank A at 20 gallons/minute. Find the amount of salt in each tank at time t=12 minutes if x(0) = 10 and y(0) = 40.

Answer 1

linear algebra - lalalalalaFriday, May 1, 2015 at 2:14pm

-10e^((-1/6)*t) + 20 = x(t) 
10e^((-1/6)*t) + 30 = y(t)