Newton's law of cooling using laplace transform

In Chapter 4 we studied Newton's Law of Cooling/Heating in which a cake was removed from an oven and allowed to cool . In this exercise we will study what takes place inside the oven as the temperature increases to the desired setting. Devise a mathematical model for the temperature of the cake while it is inside the oven based on the following set of assumptions. . At t = 0 the cake mixture is at room temperature of 70F. . The oven is not pre-heated so at t = 0, when the cake mixture is placed inside the oven, the temperature inside the oven is 70F. The temperature inside the oven increases linearly until t = 4 minutes, when the desired temperature of 300 F is attained. . The oven temperature is a constant 300 F for t 2 4. Use the Laplace transform to solve this initial-value