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Mathematics
Mathematics
Problem
For positive constants
A
A
A
and
B
B
B
and distinct real numbers
k
k
k
and
m
m
m
, derive an explicit formula for the time
T
T
T
at which
A
e
k
t
=
B
e
m
t
A e^{kt}=B e^{mt}
A
e
k
t
=
B
e
m
t
.
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