5. (7 points) In the figure below, assume that no solution flows out of the system from tank B, only 1 L/ min
flows from A into B, and only 4 L/ min of brine flows into the system at tank A, other data being the same.
Determine the mass of salt in each tank at time t≥0
A
6 L/min
0.2 kg/L
3 L/min
x(t)
100 L
CourseSmar
4 L/min
x(0) = 0 kg
1 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
Write the system of differential equations with the initial conditions, but do not solve the system.