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Mathematics
Mathematics
Problem
If
cos
x
d
y
d
x
−
y
sin
x
=
6
x
\cos x \frac{dy}{dx} - y \sin x = 6x
cos
x
d
x
d
y
−
y
sin
x
=
6
x
,
(
0
<
x
<
π
2
)
(0 < x < \frac{\pi}{2})
(
0
<
x
<
2
π
)
and
y
(
π
3
)
=
0
y(\frac{\pi}{3}) = 0
y
(
3
π
)
=
0
, then
y
(
π
6
)
y(\frac{\pi}{6})
y
(
6
π
)
is equal to : (1)
−
π
2
4
3
-\frac{\pi^2}{4\sqrt{3}}
−
4
3
π
2
(2)
−
π
2
2
-\frac{\pi^2}{2}
−
2
π
2
(3)
−
π
2
2
3
-\frac{\pi^2}{2\sqrt{3}}
−
2
3
π
2
(4)
π
2
2
3
\frac{\pi^2}{2\sqrt{3}}
2
3
π
2
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