Differential Equation Solution with Complex Ter… | ExamDuo
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First Order Differential Equations
Hard
Differential Equation Solution with Complex Term
Let
y
=
y
(
x
)
be the solution of the differential equation
(
1
−
x
2
)
d
y
=
[
x
y
+
(
x
3
+
2
)
√
3
(
1
−
x
2
)
]
dx
−
1
<
x
<
1
,
y
(
0
)
=
0
. If
y
(
1
2
)
=
m
n
,
m
and
n
are coprime numbers, then
m
+
n
is equal to
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