The following differential equation (DE) describes Newton's Law of Cooling: d_T =kTT d: (A ) Where T is the current temperature of the object, T,1 is the ambient temperature, and k is the rate coefficient for cooling (a constant). Because the subtraction of the two temperatures provides an absolute difference in temperature, you may use degrees Celsius as the unit for temperature, although usually Kelvin is the correct unit to use! You will use this DE to model the cooling of a tray of hot party-pies after they come out of an oven. The situation is as follows: 0 Ambient (room) temperature is 20C 0 Oven temperature is 160C 0 The rate coefcient for cooling, k, is 0.005 (time unit is seconds)