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Mathematics
Problem
The differential equation
d
y
d
x
=
x
x
−
2
\dfrac{dy}{dx}=\dfrac{x}{x-2}
d
x
d
y
=
x
−
2
x
has a particular solution passing through
(
3
,
1
)
(3,1)
(
3
,
1
)
. Determine the maximal open interval on which this solution is defined. a)
(
−
∞
,
∞
)
(-\infty,\infty)
(
−
∞
,
∞
)
b)
(
2
,
∞
)
(2,\infty)
(
2
,
∞
)
c)
(
0
,
∞
)
(0,\infty)
(
0
,
∞
)
d)
(
2
,
5
)
(2,5)
(
2
,
5
)
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