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First Order Differential Equations
Medium
Solve Differential Equation Initial Condition
Let
y
=
y
(
x
)
be solution of the following differential equation
e
y
d
y
d
x
−
2
e
y
sin
x
+
sin
x
cos
2
x
=
0
,
y
(
π
2
)
=
0
If
y
(
0
)
=
log
e
(
α
+
β
e
−
2
)
, then
4
(
α
+
β
)
is equal to ________.
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