Answer
The explanation is below.
Work Step by Step
As the problem states, it is necessary to use a differential equation solver to complete this problem. After all, in order to solve this problem, we plug the given function into equation 16.3, giving:
$\frac{dQ}{dt}=(40sin^2(\frac{\pi t}{24})$
(This will be the function that you can plug into the differential equation solver. Note, the book does not ask for any answers for this question; however, as the book describes, as the solution to this first order differential equation approaches infinity, the value will flatten out, signifying that the temperature will reach a constant value.)