Solved: According to Newtons law of cooling (see of Section 1.1), the temperature u(t)
Chapter 1, Problem 15(choose chapter or problem)
According to Newtons law of cooling (see of Section 1.1), the temperature u(t) of an object satisfies the differential equation du/dt = k(u T), where T is the constant ambient temperature and k is a positive constant. Suppose that the initial temperature of the object is u(0) = u0. (a) Find the temperature of the object at any time. (b) Let be the time at which the initial temperature difference u0 T has been reducedby half. Find the relation between k and .
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