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First Order Differential Equations
Medium
Solve Differential Equation Initial Condition
If
y
=
y
(
x
)
is the solution of the differential equation
d
y
d
x
+
4
x
(
x
2
−
1
)
y
=
x
+
2
(
x
2
−
1
)
5
2
,
x
>
1
such that
y
(
2
)
=
2
9
log
e
(
2
+
√
3
)
and
y
(
√
2
)
=
α
log
e
(
√
α
+
β
)
+
β
−
√
γ
,
α
,
β
,
γ
,
∈
N
, then
α
β
γ
is equal to _______
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