Chapter 9 - Systems of Differential Equations - 9.7 Some Applications of Linear Systems of Differential Equations - True-False Review - Page 634: e

False

In a chemical mixing problem with two tanks in which no solution flows in or out of the system from the outside and the rates of flow between the two tanks $r_{12}$ and $r_{21}$ are equal, the amount of chemical in each tank varies over time, regardless of the initial conditions. Hence, the statement is false.