The temperature (in °C) of a cup of coffee cools at a rate proportional to the…

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

The temperature T(t)T(t) (in °C) of a cup of coffee cools at a rate proportional to the difference between the coffee’s temperature and the ambient room temperature of 20∘ ⁣C20^{\circ}\!\text{C}. Write the differential equation that models T(t)T(t), using kk for the proportionality constant.

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