In order for T(4.5) = 27 when T = 22 and k = 0.11778, To =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:According to Newton's Law
of Cooling, the
temperature T of a
cooling body changes
according to the DE
dT
= k(T, – T),
dt
(1)
where T. is the
temperature of the
surroundings and k the
constant of
proportionality. Suppose
that T. remains
constant, and let
T(0) = To. Then the
function
T() — Т, — (Т, — То)е-ki
solves Eq.(1).
In order for
T(4.5) = 27 when
Transcribed Image Text:In order for
T(4.5) = 27 when
T = 22 and
k = 0.11778,
To =
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