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Mathematics
Problem
A function
y
y
y
satisfies
d
y
d
x
=
2
x
x
2
+
1
\dfrac{dy}{dx}=\dfrac{2x}{x^{2}+1}
d
x
d
y
=
x
2
+
1
2
x
and
y
(
0
)
=
−
2
y(0)=-2
y
(
0
)
=
−
2
. Determine an explicit expression for
y
(
x
)
y(x)
y
(
x
)
.
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