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Mathematics
Problem
A function satisfies
d
y
d
x
=
1
x
\dfrac{dy}{dx}=\dfrac{1}{x}
d
x
d
y
=
x
1
for
x
>
0
x>0
x
>
0
and passes through the point
(
3
,
2
)
(3,2)
(
3
,
2
)
. Determine the particular solution
y
(
x
)
y(x)
y
(
x
)
defined on
(
0
,
∞
)
(0,\infty)
(
0
,
∞
)
.
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