please solve this problem

al "The rate of change of temperature of an clyact is proportional to the difference between its own temperature and the ambient temperature - Newton's Law of Cooling" Given that at r = 0, a cake mixtore is placed into an oven with room temperature of 70' F. The oven temperature is then increased linearly to 300" F till c = 4 minutes after which the temperature is fixed. Based on the stated law above, formulate a mathematical model in the form of initial value problem to describe the temperature of the cake inside the Do apply Heaviside function in your formulation. b) Use Laplace transform to solve the initial value problem formulated in part (al