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Mathematics
Mathematics
Problem
For
x
>
3
x>3
x
>
3
, a particular solution to
d
y
d
x
=
2
x
x
2
−
9
\dfrac{dy}{dx}=\dfrac{2x}{x^{2}-9}
d
x
d
y
=
x
2
−
9
2
x
passes through the point
(
5
,
0
)
(5,0)
(
5
,
0
)
. Which of the following is that solution? a)
ln
(
x
2
+
9
16
)
\ln\!\left(\dfrac{x^{2}+9}{16}\right)
ln
(
16
x
2
+
9
)
b)
ln
(
x
2
−
9
25
)
\ln\!\left(\dfrac{x^{2}-9}{25}\right)
ln
(
25
x
2
−
9
)
c)
ln
(
x
2
−
9
16
)
\ln\!\left(\dfrac{x^{2}-9}{16}\right)
ln
(
16
x
2
−
9
)
d)
ln
(
x
2
−
9
)
−
4
\ln\!\left(x^{2}-9\right)-4
ln
(
x
2
−
9
)
−
4
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