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JEE Main Math Class 12 Differential Equations Part 2 Questions
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© examsnet.com
Question : 34
Total: 124
If
d
x
d
y
=
1
+
x
−
y
2
y
,
x
(
1
)
=
1
, then
5
x
(
2
)
is equal to :
[1-Feb-2024 Shift 2]
Your Answer:
Validate
Solution:
👈: Video Solution
d
x
d
y
−
x
y
=
1
−
y
2
y
Integrating factor
=
e
∫
−
1
y
=
1
y
x
⋅
1
y
=
∫
1
−
y
2
y
2
d
y
x
y
=
−
1
y
−
y
+
c
x
=
−
1
−
y
2
+
c
y
x
(
1
)
=
1
1
=
−
1
−
1
+
c
⇒
c
=
3
x
=
−
1
−
y
2
+
3
y
5
x
(
2
)
=
5
(
−
1
−
4
+
6
)
=
5
© examsnet.com
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