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Mathematics
The integrating factor of linear differential equation (dy/dx)+y tan x- sec x=0
Q. The integrating factor of linear differential equation
d
x
d
y
+
y
tan
x
−
sec
x
=
0
1180
228
Jamia
Jamia 2012
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A
cos
x
B
sec
x
C
e
c
o
s
x
D
e
s
i
n
x
Solution:
Let
x
1
,
x
2
,
...
x
n
be n observations. Then,
X
=
n
1
Σ
y
i
Let
y
i
=
α
x
i
+
10
(according to the given condition) Then,
Y
=
n
1
Σ
y
i
=
n
1
Σ
(
α
x
i
+
10
)
=
α
1
(
n
1
Σ
x
i
)
+
n
1
(
10
n
)
=
α
1
X
+
10
⇒
Y
=
α
X
+
10
α