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Mathematics
Mathematics
Problem
A function
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
satisfies
(
x
+
1
)
.
f
′
(
x
)
−
2
(
x
2
+
x
)
(x + 1). f'(x) - 2(x^2 + x)
(
x
+
1
)
.
f
′
(
x
)
−
2
(
x
2
+
x
)
f
(
x
)
=
e
x
2
(
x
+
1
)
,
∀
x
>
−
1
f(x) = \frac{e^{x^2}}{(x + 1)}, \forall x > -1
f
(
x
)
=
(
x
+
1
)
e
x
2
,
∀
x
>
−
1
. If
f
(
0
)
=
5
f(0) = 5
f
(
0
)
=
5
, then which of the following is/are
CORRECT
?
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