A tub of water is taken whose temperature outdoors at t= 0 after spending a lone time in a room whose temperature was 68° F (20° C). Outdoor temperature is 390 F (5°C). Assume that the temperature of the water obeys Newton’s law of cooling, with time constant of 30 minutes.
Formulate a differential equation for the water temperature T(t). Specify your units for time and temperature, and the initial values.
The question belongs to Mathematics and it discusses about formulation of linear differential equations for a given temperature.
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