Newton's Law of Cooling says that the rate of change of temperature of object is proportional to the difference between the temperature of the object and the ambient temperature of air. Express this statement as a differential equation. Use k >= 0 for the prportionally constant, and define with complete sentences any other variables or constants that you use in the equation. Obtain the explicit solution for the object's temperature and discuss its long term behavior. You may assume that the ambient temperature of the air is a constant.