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)e2it

3.

H(e-5(t+2)))

1. 2. 3.

Exercise 10
Use the Fourier transform to find one solution y(t) of

y(t)''+3y(t)'+2y(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 F4 is

1.


2.


3.


1. 2. 3.



1998-10-27 (Marian Prutscher)
mail: Email