According to Newton's Law of Cooling, the temperature u(t) of an object du satisfies the differential equation: = -k(u - T), u(0) = dt where T is the constant ambient temperature and k is a positive constant. Find the temperature of the object, u(t) for any time t, given k-2 min¹, T-48 °F, and u(0)-36 °F. Show all your work for full credit.
According to Newton's Law of Cooling, the temperature u(t) of an object du satisfies the differential equation: = -k(u - T), u(0) = dt where T is the constant ambient temperature and k is a positive constant. Find the temperature of the object, u(t) for any time t, given k-2 min¹, T-48 °F, and u(0)-36 °F. Show all your work for full credit.
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Transcribed Image Text:According to Newton's Law of Cooling, the
temperature u(t) of an object
du
satisfies the differential equation: = -k(u - T), u(0) =
dt
where T is the constant
ambient temperature and k is a positive constant. Find the temperature of
the object, u(t) for any time t,
given k-2 min¹, T-48 °F, and u(0)-36 °F. Show all your work for full credit.
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