The size of the room is 5.0 times that of the object, but the specific heat of

Question:

The size of the room is 5.0 times that of the object, but the specific heat of the room is 2.0 times that of the object (meaning that a large amount of heat produces only a small change in the temperature of the room).
Write systems of autonomous differential equations describing the temperature of an object and the temperature of the room in the following cases.