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Mathematics
Problem
Let
y
=
y
(
x
)
y = y(x)
y
=
y
(
x
)
be the solution of the differential equation
d
y
d
x
+
5
x
(
x
5
+
1
)
y
=
(
x
5
+
1
)
2
x
7
\frac{dy}{dx} + \frac{5}{x(x^5+1)}y = \frac{(x^5+1)^2}{x^7}
d
x
d
y
+
x
(
x
5
+
1
)
5
y
=
x
7
(
x
5
+
1
)
2
,
x
>
0
x > 0
x
>
0
. If
y
(
1
)
=
2
y(1)=2
y
(
1
)
=
2
, then
y
(
2
)
y(2)
y
(
2
)
is equal to A
637
128
\frac{637}{128}
128
637
B
679
128
\frac{679}{128}
128
679
C
693
128
\frac{693}{128}
128
693
D
697
128
\frac{697}{128}
128
697
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