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Mathematics
Mathematics
Problem
The function
y
=
cosh
3
x
y=\cosh 3x
y
=
cosh
3
x
is proposed as a solution of the differential equation
y
′
′
−
k
y
=
0
y''-ky=0
y
′′
−
k
y
=
0
. What is the value of
k
k
k
that makes this true for all real numbers
x
x
x
? a)
k
=
6
k=6
k
=
6
b)
k
=
9
k=9
k
=
9
c)
k
=
3
k=3
k
=
3
d)
k
=
12
k=12
k
=
12
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