A tank of water is kept in a room where the air temperature is

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

Problem

A tank of water is kept in a room where the air temperature is 25∘C25^\circ\text{C}. The rate of change of the water temperature W(t)W(t) (in ∘C^\circ\text{C} per minute) is proportional to the difference between the water temperature and the room temperature, and the water is cooling. Write a differential equation that models W(t)W(t) using a positive proportionality constant kk.

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