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Mathematics
Problem
For a differentiable function
y
(
t
)
y(t)
y
(
t
)
satisfying
d
y
d
t
=
k
y
\dfrac{dy}{dt}=ky
d
t
d
y
=
k
y
, which of the following equals its relative rate of change
1
y
d
y
d
t
\dfrac{1}{y}\,\dfrac{dy}{dt}
y
1
d
t
d
y
? a)
k
y
k y
k
y
b)
k
k
k
c)
e
k
t
e^{k t}
e
k
t
d)
k
t
k t
k
t
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