1549312215-Complex_Analysis_for_Mathematics_and_Engineering_5th_edition__Mathews

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522 CHAPTER 12 • FOURlER SERlES AND THE LAPLACE TRANSFORM



  1. U (t), given in F igure 12.8.

    • n




F igure 12 .8


  1. u (t) = 0,


1!
2

{

1,


  • 1,


s
s = U(t)

1!

(^2) "
for ~ < t < 7r;
for - 2 " < t < ~;
for -7r < t < - 2 w.
The graph of U (t) is shown in F igure 12.9.
...,, _Jf. 2
o----o - I
Figure 12.9
$
s = U(t)
0----0



  1. V (t), given in Figure 12 .10.


"
Figure 12 .10
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