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Mathematics
Mathematics
Problem
Let
y
=
y
(
x
)
y = y(x)
y
=
y
(
x
)
be the solution curve of the differential equation
sec
y
d
y
d
x
+
2
x
sin
y
=
x
3
cos
y
\sec y \frac{dy}{dx} + 2x \sin y = x^3 \cos y
sec
y
d
x
d
y
+
2
x
sin
y
=
x
3
cos
y
.
y
(
1
)
=
0
y(1) = 0
y
(
1
)
=
0
. Then
y
(
3
)
y(\sqrt{3})
y
(
3
)
is equal to :
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