Lecture 21

InverseLaplaceTransforms

Review

Definition

Lltttigs [e-stfttldt = Fcs)• Linearitysomelaplacetr-anformsilfaftth.bg#lgsaLffttBtbLfgttLf

Lleatl=*

"

÷i÷ii*:÷÷÷÷÷•

Lfffat-SLHKH-sfld.IT/MoreIdentiesLscoshCbtH=s!-g& • Shoe Lftkllsfcsl . Then

LKoshcbtD-Lfebge.tt/ LIeatfky.EC#T= 's# +¥b)=¥bnB

www..io :%÷!÷÷÷÷# Lfsinhlbtl)=L{ ebtgebt}-

Hals's =¥*⑧ L.IE#aaf-.tsHsILHYsY

Pt

IL featftp./!eattHestdt=fIktettdtdt=FIs-a)

• LffCbt)) = f-

fast)e-statset 4 -- b t debut

= fo%we-%"dug = Ig FWD

• His food, tklestdt = foto- tf#e'Tet =-L{TSAR

•

FGT.LI#=LfdatfIiuiau1-sLfEsiwan3-f%aan=sLlSotftuld) so

Lf #want FH .

• LEG =LITSY -das = - da 's= 's.

• LITT -

- ftL Itis =L It . th s -da LH s -dad §,Ht't s - da ( Hs %, . . .

\- n e --T Mater

-x-- n-mymum

computingtnverselo.pl#eTransformsInnportantspeci-a:

Titans:#c)Examples .

['

¥5, -6} *Llebtf = Fls - b)- i L{ ebt} : ÷b=L

"

list} -- ELI Han

ss.si#=etfssisss..ltssils:..D%÷:¥÷÷= et(3 cash ( rtt) t link tht )) 2kmhtatttssf.at

* L { ebt fits} = F Cs- b)L { ebt} = IT

l lsht÷:÷i÷÷. :÷÷÷÷÷÷÷÷÷÷÷

= est L" I £+2 }

"

- est ft Watt)

Lfebtffts} = Fls - b)L { ebt} : s÷bHis:*.!:÷i÷÷÷÷÷" :i::÷¥i:i÷:= Eat L'

'

f :#}Hashi#Is ss÷

= a"t.zjyg.gg/2knihtatHss.aa.-gI(3uslrsd-tghidrtl)

-

a

Fcs) , 25+35+1 .

..- = Agt Bf, t ¥4Sls- 1) CALI) So L" IF s

''

cover -up"

method : sets) : 2s2t3stl

.

Em,sAtss÷i¥)'4L

"

TEL"%t%L"fs⇒"" " "" ! / "

"

" "" ÷ "

{As 21014-3611-1 I 3.Stli' I, *Is- 1) CALI)

a25+35+1

Bs 24143411-1 - 6 -¥41

-

I s CALI)a

25+35+1[ = 24474364111 -t.ES#sls-hCsf4yI

• Ffs)= 852 - 4h12 85 - 4s th Bstc t 157479¥41 g-

=

s

= It Bj¥, ) sets : ai : 8HiY;!l2c s Bhi)tC

As 8105-4101+12 - 32 -pith-=3 =-g,=

-20.8JG) 'tht Li

s - 4 this Ct2Bi

So So Cs -4 And Bs 5

gy8tsIs LY 's '- Tait 's.

s 31-5 costal - 2h'nkt)

ftp.2sstshtost6 Chi)tDs2HiPtt2iPt8ki)t6--

(Rtl) ( s't 'D ChittiTo

sass:# to:*. / ::c::÷÷;Ali) TDs 2CiPt lift Hittle€4 sik:÷nsit:f.= 536J s 5g +di

gig 25+513 Iso 13=55 Asa ←-

I s÷y}= 2 look) t 5g Link) - '

gsintht)