Consider the Hakosalo Residence in Oulu, Finland $\frac{1}{31}$ Assume That It Is 10° F Outside Constantly

Consider the Hakosalo residence in Oulu, Finland.Assume that heat is lost from the house only through windows and the rate of change of temperature in °F/hr is proportional to the difference in temperature between the outside and the inside.The constant of proportionality is $\frac{1}{31}$ .Assume that it is 10° F outside constantly.On a Thursday at noon the temperature inside the house was 65°F and the heat was turned off until 5 pm.At 5 pm the heat is turned on.The heater generates an amount of energy that would raise the inside temperature by 2°F per hour if there were no heat loss.Which of the following differential equations reflect what happens to the inside temperature after the heat is turned on?

A) $\frac{d y}{d t}=-\frac{1}{31} y+72$
B) $\frac{d y}{d t}=-\frac{1}{31} y+2$
C) $\frac{d y}{d t}=-\frac{1}{31} y+\frac{52}{31}$
D) $\frac{d y}{d t}=-\frac{1}{31} y+\frac{72}{31}$