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Mathematics
Mathematics
Problem
Find the particular solution of the differential equation
x
(
1
+
y
2
)
d
x
−
y
(
1
+
x
2
)
d
y
=
0
x(1+y^2)dx - y(1+x^2)dy = 0
x
(
1
+
y
2
)
d
x
−
y
(
1
+
x
2
)
d
y
=
0
, given that
y
=
1
y = 1
y
=
1
when
x
=
0
x = 0
x
=
0
.
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