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Mathematics
Mathematics
Problem
Find the particular solution of the differential equation
{
x
sin
2
y
x
−
y
}
d
x
+
x
d
y
=
0
\left\{x \sin^2 \frac{y}{x} - y\right\} dx + x dy = 0
{
x
sin
2
x
y
−
y
}
d
x
+
x
d
y
=
0
, it being given that
y
=
π
4
y = \frac{\pi}{4}
y
=
4
π
when
x
=
1
x = 1
x
=
1
.
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