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Byju's Answer
Standard XII
Mathematics
Integrating Factor
If integratin...
Question
If integrating factor of
x
(
1
−
x
2
)
d
y
+
(
2
x
2
y
−
y
−
a
x
3
)
d
x
=
0
is
e
∫
P
d
x
, then P is equal to
A
2
x
2
−
a
x
3
x
(
1
−
x
2
)
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B
(
2
x
2
−
1
)
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C
2
x
2
−
1
a
x
3
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D
(
2
x
2
−
1
)
x
(
1
−
x
2
)
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Solution
The correct option is
D
(
2
x
2
−
1
)
x
(
1
−
x
2
)
x
(
1
−
x
2
)
d
y
+
(
2
x
2
y
−
y
−
a
x
3
)
d
x
=
0
d
y
d
x
+
(
2
x
2
−
1
)
x
(
1
−
x
2
)
y
=
a
x
2
(
1
−
x
2
)
,
∴
P
=
2
x
2
−
1
x
(
1
−
x
2
)
.
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