Assume that the outside temperature varies as T(t) = 15 + 5 sin(t/12) where t = 0

Assume that the outside temperature varies as T(t) = 15 + 5 sin(πt/12) where t = 0 is 12 noon. A house is heated to 25°C at t = 0 and after that, its temperature y(t) varies according to Newton’s Law of Cooling (Figure 6):

Data From Exercise 45

Let a, b, r be constants. Show that

Transcribed Image Text:

dy = dt = -0.1(y(t) - T(t))