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Mathematics
Problem
Solve the differential equation
d
y
d
x
=
x
y
2
\dfrac{dy}{dx}=xy^{2}
d
x
d
y
=
x
y
2
subject to the initial condition
y
(
2
)
=
1
y(2)=1
y
(
2
)
=
1
, and state the explicit particular solution
y
y
y
in terms of
x
x
x
.
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