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Mathematics
Mathematics
Problem
For each of the differential equations in Exercises from 11 to 15, find the particular solution satisfying the given condition: 13. `
[
x
sin
2
(
y
x
)
−
y
]
d
x
+
x
d
y
=
0
;
y
=
π
4
\left[x \sin ^{2}\left(\frac{y}{x}\right)-y\right] d x+x d y=0 ; y=\frac{\pi}{4} \quad
[
x
sin
2
(
x
y
)
−
y
]
d
x
+
x
d
y
=
0
;
y
=
4
π
when
x
=
1
x=1
x
=
1
`
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