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Mathematics
Mathematics
Problem
Which differential equation most appropriately models a quantity that decreases at a rate proportional to its current amount? a)
d
y
d
t
=
−
k
y
\dfrac{dy}{dt}=-k y
d
t
d
y
=
−
k
y
with
k
>
0
k>0
k
>
0
b)
d
y
d
t
=
k
y
\dfrac{dy}{dt}=k y
d
t
d
y
=
k
y
with
k
>
0
k>0
k
>
0
c)
d
y
d
t
=
−
k
y
2
\dfrac{dy}{dt}=-k y^{2}
d
t
d
y
=
−
k
y
2
with
k
>
0
k>0
k
>
0
d)
d
y
d
t
=
−
k
\dfrac{dy}{dt}=-k
d
t
d
y
=
−
k
with
k
>
0
k>0
k
>
0
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