Solve DE Trigonometric Functions (Jee Mains) | ExamDuo
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First Order Differential Equations
Hard
Solve DE Trigonometric Functions
Let
y
=
y
(
x
)
be the solution of the differential equation
d
y
d
x
+
√
2
y
2
cos
4
x
−
cos
2
x
=
x
e
tan
−
1
(
√
2
cot
2
x
)
,
0
<
x
<
π
2
with
y
(
π
4
)
=
π
2
32
If
y
(
π
3
)
=
π
2
18
e
−
tan
−
1
(
α
)
, then the value of
3
α
2
is equal to____
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