When a cake is removed from an oven, the temperature of the cake is 210F. The cake is left to cool at room temperature (70F.), and after 30 minutes, the temperature of the cake is 140F
According to Newton's law of cooling, the rate of change of temperature of a body is proportional
to the temperature difference between the body and the environment. Set up and solve a differential
equation to determine when the temperature of the cake will be 100F.
How would you set up this problem?