In Problems 7–9, solve the related phase plane differential equation (2), page 263, for the given system.
The solution is .
Here the system is;
And the phase plane equation is;
Here the equation is .
Therefore, the solution is .
A building consists of two zones A and B (see Figure 5.5). Only zone A is heated by a furnace, which generates 80,000 Btu/hr. The heat capacity of zone A is per thousand Btu. The time constant for heat transfer between zone A and the outside is 4 hr, between the unheated zone B and the outside is 5 hr, and between the two zones is 2 hr. If the outside temperature stays at , how cold does it eventually get in the unheated zone B?
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