A Cool Object Is to Be Heated to a Maximum $y ( t ) = M - M e ^ { - k t }$

True/False

A cool object is to be heated to a maximum temperature M = M°C. At any time t, the rate at which the temperature rises is proportional to the difference between the actual temperature and the maximal temperature. If the object is originally 0°C, find and solve a differential equation describing this situation. Is this the solution: $y ( t ) = M - M e ^ { - k t }$