Differential Equations Quiz
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Question 1
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Let
h
(
t
)
=
(
f
∗
g
)
(
t
)
h(t) = (f*g)(t)
h
(
t
)
=
(
f
∗
g
)
(
t
)
, where
f
(
t
)
=
e
2
t
f(t) = e^{2t}
f
(
t
)
=
e
2
t
and
g
(
t
)
=
2
e
−
2
t
g(t) = 2e^{-2t}
g
(
t
)
=
2
e
−
2
t
. Which of the following is an expression for
h
(
t
)
h(t)
h
(
t
)
?
A
t
e
−
4
t
t e^{-4t}
t
e
−
4
t
B
e
2
t
−
e
−
2
t
e^{2t} - e^{-2t}
e
2
t
−
e
−
2
t
C
sinh
(
2
t
)
\sinh(2t)
sinh
(
2
t
)
D
2
2
2
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