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Mathematics
Mathematics
Problem
If for
x
≥
0
x \ge 0
x
≥
0
,
y
=
y
(
x
)
y = y(x)
y
=
y
(
x
)
is the solution of the differential equation
(
x
+
1
)
d
y
=
(
(
x
+
1
)
2
+
y
−
3
)
d
x
(x + 1)dy = ((x + 1)^2 + y - 3)dx
(
x
+
1
)
d
y
=
((
x
+
1
)
2
+
y
−
3
)
d
x
,
y
(
2
)
=
0
y(2) = 0
y
(
2
)
=
0
, then
y
(
3
)
y(3)
y
(
3
)
is equal to ____________. [JEE-MAIN ONLINE-2020]
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