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Mathematics
Problem
A cooling liquid satisfies
d
T
d
t
=
−
k
(
T
−
20
)
\displaystyle \frac{dT}{dt}=-k\bigl(T-20\bigr)
d
t
d
T
=
−
k
(
T
−
20
)
, where
T
T
T
is measured in degrees Celsius,
t
t
t
in minutes, and
k
k
k
is a positive constant. Determine the general solution for
T
T
T
as a function of
t
t
t
.
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