Exercise
Fintl the irrvciw T,ztplace transform f ( t ) = G-l{ F ( s ) } o f
2-9 - 1
F ( 5 ) T _ I_- Re{ s} > - 1 C h i p a r e differriit nretlrods of' p r t i a l
(5 4.- 1)"s + 4)'
xereise 5-4
F ( s ) = .5 + 3
,542 + 25 + - 5 has conipkx conjugate polcs m t l a right-sided rcgioii of convergriice Find it4 inverse ~ a p i u c e tiansfoforiii f i t ) - L C - ' ( F ( S ) } arid represerrt tlic resiilt as sinr i ~ i i cosine tcriris
A A"
a) 'Ilsc the complex partial fractioii cxpaiision F ' ( s ) = -r -
s - Sli s - -5;