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Mathematics
Problem
For each of the differential equations in Exercises from 11 to 15, find the particular solution satisfying the given condition: 12. `
x
2
d
y
+
(
x
y
+
y
2
)
d
x
=
0
;
y
=
1
x^{2} d y+\left(x y+y^{2}\right) d x=0 ; y=1
x
2
d
y
+
(
x
y
+
y
2
)
d
x
=
0
;
y
=
1
when
x
=
1
x=1
x
=
1
`
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