Problems
Exercise 8
The Heaviside function
H
(
t
) is given by
Find the Fourier transform of
f
(
t
)=
H
(
t
)
e
-
at
Possible solutions are
1.
2.
3.
1.
2.
3.
Exercise 9
Determine the value of
Possible solutions are:
1.
H
(
t
+2)
e
-5(
t
+2)
2.
H
(
t
)
e
2
it
3.
H
(
e
-5(
t
+2)
))
1.
2.
3.
Exercise 10
Use the Fourier transform to find one solution
y
(
t
) of
y
(
t
)''+3
y
(
t
)'+2
y
(
t
)=0
1.
2.
3.
1.
2.
3.
Exercise 11
(Convolution theorem)
The Fourier transform of
y
(
x
),
g
(
x
) and
r
(
x
) are denoted by
and
. Solve for y(x) the integral equation
Possible solutions are:
1.
2.
3.
1.
2.
3.
Exercise 12
The Fourier matrix
F
4
is
1.
2.
3.
1.
2.
3.
1998-10-27 (Marian Prutscher)
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