Question: (a) An object is placed in a 68°F room. Write a differential equation for H, the temperature of the object at time t.
(b) Find the equilibrium solution to the differential equation. Determine from the differential equation whether the equilibrium is stable or unstable.
(c) Give the general solution for the differential equation.
(d) The temperature of the object is 40°F initially and 48°F one hour later. Find the temperature of the object after 3 hours.