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Mathematics
Problem
A particular solution of a differential equation can be written as
y
(
x
)
=
ln
∣
x
−
4
∣
+
C
y(x)=\ln|x-4|+C
y
(
x
)
=
ln
∣
x
−
4∣
+
C
with
y
(
2
)
=
3
y(2)=3
y
(
2
)
=
3
. Which of the following intervals is the largest open interval on which this solution is defined? a)
(
2
,
4
)
(2,4)
(
2
,
4
)
b)
(
4
,
∞
)
(4,\infty)
(
4
,
∞
)
c)
(
−
∞
,
4
)
(-\infty,4)
(
−
∞
,
4
)
d)
(
−
∞
,
4
]
(-\infty,4]
(
−
∞
,
4
]
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