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JEE Main Math Class 12 Differential Equations Part 2 Questions
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© examsnet.com
Question : 2
Total: 124
Let the solution
y
=
y
(
x
)
of the differential equation
d
y
d
x
−
y
=
1
+
4
s
i
n
x
satisfy
y
(
π
)
=
1
. Then
y
(
π
2
)
+
10
is equal to ________
[4 Apr 2024 Shift 1]
Your Answer:
Validate
Solution:
👈: Video Solution
y
e
−
x
=
∫
(
e
−
x
+
4
e
−
x
s
i
n
x
)
dx
y
e
−
x
=
−
e
−
x
−
2
(
e
−
x
s
i
n
x
e
−
x
cos
x
)
+
C
y
=
−
1
−
2
(
s
i
n
x
+
cos
x
)
+
c
e
x
∵
y
(
π
)
=
1
⇒
c
=
0
y
(
π
∕
2
)
=
−
1
−
2
=
−
3
Ans
=
10
−
3
=
7
© examsnet.com
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