Laplace StrujniKrug Primjer

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Transcript of Laplace StrujniKrug Primjer

v ~ GO 2oSrt~ ~JltLtamp

~i tc plusmnK=-Og5) = s-SL

-1 l L t 4r I

R

1 =--shy C =- D2S F =- t F

el-l- ) (()

e(t ) pound t + 2i5 t25

I ~(o) 1 A

1~ (0 ) - 3A ~ shyr - - - shydl1 C

(~) lmiddot -Lt t- R ~1-1~) =- eft) t

C~) 1(Ui L~) +6J2-~Cr)d - 4 c (o) = 0

o 1ALLt rtLapolt- 1oK~~ LL ttNL~ t 0

rutj~ U c 0 ) ~ 1G ( ii0) - G~ (0) )

U~uto (~cb~amp (1) J ~~ pYb~(ld cfL~cJi~ (2raquo)

(2 KC~ - i )) +- -t- t(t) =- 01

ro- M- fo~ ~ kQ ~~ CJ~ ctvv-~ Me (0 )

tlrvitOfiJ(l(j0u ~O-d~et ~~ctUD~ do~-VCluuo l1~otL~~

dttl 4 4shyC1) ott T 5 (~1 - i~) =- 5 t + ~

-t-shy

(2) ~ (i - i 1 ) -I- 4Jir)oIX - t(- ~ -1) 0 o

1 1 4

~ L C~) 1 (0) + -(r -I ) ~- pound i +C2

s11 - 1 5 1 c

J 2S S~ ltJ

2l- shyS-

s + ~ -i-

5 5 (S+ ~)(s+ 5)- ~ S = 5

2yen+ +4J)shy 5 -c-

ltS+s (5+1)($+4)

2~S10 S+ l ~lt Jlt S$+ ~CO+ ~olt S ~ AlS g ~ ~ r lt)

iSsQlLSS~-+pound0 S2+ ~2~ s + Aoo )

_ ~ ( S 3 -+ 2sQ+ SS + 4) -- ~ ( s+t )(S2t S+ 4 ) s ~

~ r I- ~

4 2~ d 20 + 2~ S - 2 s S ~

+-s)- sj+- 1SS~ ~I I

Q~ ~

$ lt2~ gG20+ L~lt+ 2~ s ~ - ---s- -+ ----- shy

S 2S LSS

~ _ ~fl) lt- 9G s + 00 +2 tS

- fSS+ 20 -------=

2 Ss

_ (- ~g g 1- 4 )(s -r )

5sD _1__ + f (1) 4 iI shy s + 4 sz C) 1 1 -c == e + -c1 D

4 - 4--L--_ +L- gt (--L) = - 4- e + Lr) _~~ S +- 4 s-s vz SI~ D shyL

1 1 4

~ L C~) 1 (0) + -(r -I ) ~- pound i +C2

s11 - 1 5 1 c

J 2S S~ ltJ

2l- shyS-

s + ~ -i-

5 5 (S+ ~)(s+ 5)- ~ S = 5

2yen+ +4J)shy 5 -c-

ltS+s (5+1)($+4)

2~S10 S+ l ~lt Jlt S$+ ~CO+ ~olt S ~ AlS g ~ ~ r lt)

iSsQlLSS~-+pound0 S2+ ~2~ s + Aoo )

_ ~ ( S 3 -+ 2sQ+ SS + 4) -- ~ ( s+t )(S2t S+ 4 ) s ~

~ r I- ~

4 2~ d 20 + 2~ S - 2 s S ~

+-s)- sj+- 1SS~ ~I I

Q~ ~

$ lt2~ gG20+ L~lt+ 2~ s ~ - ---s- -+ ----- shy

S 2S LSS

~ _ ~fl) lt- 9G s + 00 +2 tS

- fSS+ 20 -------=

2 Ss

_ (- ~g g 1- 4 )(s -r )

5sD _1__ + f (1) 4 iI shy s + 4 sz C) 1 1 -c == e + -c1 D

4 - 4--L--_ +L- gt (--L) = - 4- e + Lr) _~~ S +- 4 s-s vz SI~ D shyL