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Mathematics
Problem
Consider the differential equation
d
y
d
t
=
k
(
L
−
y
)
\dfrac{dy}{dt}=k(L-y)
d
t
d
y
=
k
(
L
−
y
)
with
k
>
0
k>0
k
>
0
. Determine whether
y
(
t
)
y(t)
y
(
t
)
is increasing or decreasing at a moment when
y
>
L
y>L
y
>
L
and briefly explain your reasoning.
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