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Mathematics
Problem
The differential equation
d
y
d
x
=
k
y
x
(
x
−
4
)
\displaystyle \frac{dy}{dx}=\frac{k\,y}{x(x-4)}
d
x
d
y
=
x
(
x
−
4
)
k
y
satisfies
y
(
2
)
=
3
y(2)=3
y
(
2
)
=
3
and
y
(
3
)
=
4
y(3)=4
y
(
3
)
=
4
. What is the value of the constant
k
k
k
? a)
4
ln
(
4
/
3
)
ln
3
\dfrac{4\ln(4/3)}{\ln 3}
ln
3
4
ln
(
4/3
)
b)
−
ln
(
4
/
3
)
ln
3
-\dfrac{\ln(4/3)}{\ln 3}
−
ln
3
ln
(
4/3
)
c)
−
4
ln
(
4
/
3
)
ln
3
-\dfrac{4\ln(4/3)}{\ln 3}
−
ln
3
4
ln
(
4/3
)
d)
−
4
ln
(
4
/
3
)
-4\ln(4/3)
−
4
ln
(
4/3
)
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