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Mathematics
Problem
Identify the differential equation that describes exponential decay of a quantity
Q
Q
Q
with respect to time
t
t
t
. a)
d
Q
d
t
=
0.4
Q
\dfrac{dQ}{dt}=0.4\,Q
d
t
d
Q
=
0.4
Q
b)
d
Q
d
t
=
−
0.4
Q
2
\dfrac{dQ}{dt}=-0.4\,Q^{2}
d
t
d
Q
=
−
0.4
Q
2
c)
d
Q
d
t
=
−
0.4
Q
\dfrac{dQ}{dt}=-0.4\,Q
d
t
d
Q
=
−
0.4
Q
d)
d
Q
d
t
=
Q
0.4
\dfrac{dQ}{dt}=\dfrac{Q}{0.4}
d
t
d
Q
=
0.4
Q
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