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Mathematics
Mathematics
Problem
If
y
=
y
(
x
)
y = y(x)
y
=
y
(
x
)
is the solution of the differential equation
d
y
d
x
=
(
tan
x
−
y
)
sec
2
x
\frac{dy}{dx} = (\tan x - y) \sec^2 x
d
x
d
y
=
(
tan
x
−
y
)
sec
2
x
,
x
∈
(
−
π
2
,
π
2
)
x \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right)
x
∈
(
−
2
π
,
2
π
)
, such that
y
(
0
)
=
0
y(0) = 0
y
(
0
)
=
0
, then
y
(
−
π
4
)
y\left(-\frac{\pi}{4}\right)
y
(
−
4
π
)
is equal to : [JEE-MAIN ONLINE-2019]
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