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Mathematics
Problem
Find the particular solution of the differential equation
d
y
d
x
=
x
(
2
log
x
+
1
)
(
sin
y
+
y
cos
y
)
,
given that
y
=
π
2
when
x
=
1.
[
CBSE 2014
]
\frac{dy}{dx} = \frac{x(2\log x + 1)}{(\sin y + y \cos y)}, \text{ given that } y = \frac{\pi}{2} \text{ when } x = 1. \quad [\text{CBSE 2014}]
d
x
d
y
=
(
sin
y
+
y
cos
y
)
x
(
2
lo
g
x
+
1
)
,
given that
y
=
2
π
when
x
=
1.
[
CBSE 2014
]
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