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Mathematics
Mathematics
Problem
Let the solution
y
=
y
(
x
)
y = y(x)
y
=
y
(
x
)
of the differential equation
d
y
d
x
−
y
=
1
+
4
sin
x
\frac{dy}{dx} - y = 1 + 4\sin x
d
x
d
y
−
y
=
1
+
4
sin
x
satisfy
y
(
π
)
=
1
y(\pi) = 1
y
(
π
)
=
1
. Then
y
(
π
2
)
+
10
y\left(\frac{\pi}{2}\right) + 10
y
(
2
π
)
+
10
is equal to _____.
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