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Mathematics
Problem
Suppose
y
(
x
)
=
e
p
x
sin
x
y(x)=e^{px}\sin x
y
(
x
)
=
e
p
x
sin
x
is proposed as a solution of the differential equation
y
′
′
−
2
y
′
+
2
y
=
0
y''-2y'+2y=0
y
′′
−
2
y
′
+
2
y
=
0
. Which value of
p
p
p
makes this statement true for all real numbers
x
x
x
? a)
p
=
0
p=0
p
=
0
b)
p
=
1
p=1
p
=
1
c)
p
=
−
1
p=-1
p
=
−
1
d)
p
=
3
p=3
p
=
3
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