Solve Differential Equation (Jee Mains) | ExamDuo
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First Order Differential Equations
Hard
Solve Differential Equation
Let
y
=
y
(
x
)
be the solution curve of the differential equation
sin
(
2
x
2
)
log
e
(
tan
x
2
)
d
y
+
(
4
x
y
−
4
√
2
x
sin
(
x
2
−
π
4
)
)
d
x
=
0
,
0
<
x
<
√
π
2
, which passes through the point
(
√
π
6
,
1
)
. Then
|
y
(
√
π
3
)
|
is equal to ________.
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