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Tardigrade
Question
Mathematics
If (2 + sin x ) (dy/dx) + (y + 1) cos x = 0 and y(0) = 1, then y ( (π/2) ) is equal to :
Q. If
(
2
+
sin
x
)
d
x
d
y
+
(
y
+
1
)
cos
x
=
0
and
y
(
0
)
=
1
,
then
y
(
2
π
)
is equal to :
3430
206
JEE Main
JEE Main 2017
Differential Equations
Report Error
A
−
3
2
6%
B
−
3
1
26%
C
3
4
35%
D
3
1
33%
Solution:
(
2
+
sin
x
)
d
x
d
y
+
(
y
+
1
)
cos
x
=
0
y
(
0
)
=
1
,
y
(
2
π
)
= ?
y
+
1
1
d
y
+
2
+
s
i
n
x
c
o
s
x
d
x
=
0
I
n
∣
y
+
1
∣
+
I
n
(
2
+
sin
x
)
=
I
n
C
(
y
+
1
)
(
2
+
sin
x
)
=
C
Put
x
=
0
,
y
=
1
(
1
+
1
)
⋅
2
=
C
⇒
C
=
4
Now,
(
y
+
1
)
(
2
+
sin
x
)
=
4
For,
x
=
2
π
(
y
+
1
)
(
2
+
1
)
=
4
y
+
1
=
3
4
y
=
3
4
−
1
=
3
1