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Mathematics
Problem
If
y
(
x
)
y(x)
y
(
x
)
is the solution of the differential equation
x
d
y
−
(
y
2
−
4
y
)
d
x
=
0
x dy - (y^2 - 4y) dx = 0
x
d
y
−
(
y
2
−
4
y
)
d
x
=
0
for
x
>
0
x > 0
x
>
0
,
y
(
1
)
=
2
y(1) = 2
y
(
1
)
=
2
, and the slope of the curve
y
=
y
(
x
)
y = y(x)
y
=
y
(
x
)
is never zero, then the value of
10
y
(
2
)
10y(\sqrt{2})
10
y
(
2
)
is \_\_\_\_\_\_. [JEE-Advanced 2022]
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