Newton’s law of cooling states that the rate of change of temperature of an object is proportional to the difference in temperature between the object and the surrounding medium. Thus, if T is the temperature of the object after t hours and T_M is the (constant) temperature of the surrounding medium, then

where k is a constant. Use this equation in Exercises.

Show that the solution of this differential equation is T = Ce^-kt + T^M , where C is a constant.

Transcribed Image Text:

dT dt = || -K(T-TM),