prove the following relationships. Note that x(z) = ] [x(+)]. 1. ] [ a^² XLE)] = x ( ² / ) 2. ] [ 2°t X(+] = x (285) X -3-3 [+ x (+)] = -TZ d dz X (Z)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
·8/ prove the following relationships. Note
that
X(Z) = ] [X(+)].
1.] [ak XLE)] = x ( ²/2 )
2. ] [ 2°t X(+)] = x (285)
3-3 [+ x(+)]
d
dz
=-TZ
X (Z)
Transcribed Image Text:·8/ prove the following relationships. Note that X(Z) = ] [X(+)]. 1.] [ak XLE)] = x ( ²/2 ) 2. ] [ 2°t X(+)] = x (285) 3-3 [+ x(+)] d dz =-TZ X (Z)
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