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Consider an object in a room at an ambient temperature TA. Newton's Law of Cooling states that the rate of decrease of temperature of the
Consider an object in a room at an ambient temperature TA. Newton's Law of Cooling states that the rate of decrease of temperature of the object is proportional to the difference between the temperature of the object and the ambient temperature.
(i) Assuming the ambient temperature is constant with time, solve the above differential equation and identify any equilibrium solutions.
(ii) Assuming the temperature of the object at time 0 as T0, derive the expression
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