A simple nonlinear law of cooling states that the rate of change of temperature of an
Chapter 1, Problem 50(choose chapter or problem)
A simple nonlinear law of cooling states that the rate of change of temperature of an object is proportional to the square of the temperature difference between the object and its surrounding medium (you may assume that the temperature of the surrounding medium is constant). Set up and solve the initial-value problem that governs this cooling process if the initial temperature is T0. What happens to the temperature of the object as t ?
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