Problem 1

Fourier transform analysis of previous homework problem. Problem 2 from Homework 3

is revisited. Consider the low-pass system y = -y +2u with input

u(t):

=

-et t<0

t>0

(1)

Explain why a Fourier transform approach can be used to solve this problem. Use it to find y(t)

and compare the result to the convolution approach from Homework 3.