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Differential EquationsMediumFirst-Order Equations

First-Order Equations · Medium problem

A cup of coffee cools according to Newton's law dTdt=−k(T−20)\dfrac{dT}{dt}=-k(T-20) in a 20∘C20^\circ\mathrm{C} room. It is 100∘C100^\circ\mathrm{C} at t=0t=0 and 60∘C60^\circ\mathrm{C} at t=10t=10 minutes. What is its temperature, in ∘C^\circ\mathrm{C}, at t=20t=20 minutes?