A cup of coffee cools according to Newton's law of cooling (3) in Section 1.3. dT =R(T-T) ot or (3) dt Use data from the graph of the temperature 7(t) in the figure to estimate the constants T T and k in a model of the form of a first-order initial-value problem: dT/dt = k(T - T), T(0) = 7 TA 200 150 100- 50 25 50 75 100 minutes Tm = To = k =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A cup of coffee cools according to Newton's law of cooling (3) in Section 1.3.
dT
= R(T-T)
at
or
(3)
dt
Use data from the graph of the temperature 7(t) in the figure to estimate the constants T T and k in a model of the form of a first-order initial-value problem:
dT/dt = k(T - T), T(0) = 7:
TA
200
150
100-
50-
25
50
75
100
minutes
To =
k =
Transcribed Image Text:A cup of coffee cools according to Newton's law of cooling (3) in Section 1.3. dT = R(T-T) at or (3) dt Use data from the graph of the temperature 7(t) in the figure to estimate the constants T T and k in a model of the form of a first-order initial-value problem: dT/dt = k(T - T), T(0) = 7: TA 200 150 100- 50- 25 50 75 100 minutes To = k =
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