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Mathematics
Mathematics
Problem
Let
y
y
y
be a function such that
d
y
d
x
=
2
x
\dfrac{dy}{dx}=\dfrac{2}{x}
d
x
d
y
=
x
2
for
x
≠
0
x\neq 0
x
=
0
and
y
(
−
3
)
=
7
y(-3)=7
y
(
−
3
)
=
7
. Determine the particular solution
y
(
x
)
y(x)
y
(
x
)
that is valid on an interval containing
x
=
−
3
x=-3
x
=
−
3
.
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