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Mathematics
Mathematics
Problem
Describe how the sign of the constant
k
k
k
in the differential equation
d
y
d
t
=
k
y
\dfrac{dy}{dt}=k y
d
t
d
y
=
k
y
determines whether the quantity
y
(
t
)
y(t)
y
(
t
)
exhibits growth or decay for an initial value
y
(
0
)
>
0
y(0)>0
y
(
0
)
>
0
.
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