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Mathematics
Mathematics
Problem
Solve the differential equation
(
1
+
e
2
x
)
d
y
+
e
x
(
1
+
y
2
)
d
x
=
0
,
(1 + e^{2x})dy + e^x(1 + y^2)dx = 0,
(
1
+
e
2
x
)
d
y
+
e
x
(
1
+
y
2
)
d
x
=
0
,
it being given that
y
=
1
y = 1
y
=
1
when
x
=
0
x = 0
x
=
0
.
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