t.-l ,\l"- r"

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e_op _ p_pp85. f(t)::7'1(r-a) -'y'1(r- F) miatt r{J(t)} =r-'(1 83)t-86. f(r) = lr. 1(r - 0) - t.l(f - 4)l + [(2a- '] l(t - aJ -(2a - t) r(t - 2a)l'--ii*a a, baloldali iUtt.) i' t U.,a" helyessdge az els6 k€t tagra vonatkoz6an aiobboldali rnbr6b6l is kiolvashat6'r.1(r)I . 1(t- o)Atalakitrissal JQ) = t' r(r) + (24- | - rll(t -')1 (t : 2i.l!\' 4 Il(t -l 2a), teh6t?:):i?lJ:l.itil:'zit- o)'i(r - o) + (r- 2;)'r(t -2a)' A tdbl6'zat II k€pleteszerint /2(i) = t'l(t)-re L\fr(t)) = icv ar 25'16 eltolasi t6tel szetint7,t.\J2ft - to)\ = a{(1 - ,0) ' l(t - t0)} = "-t"oL\lz(t)}:+e-t,e ' Az ut6bbi6sszefit886st alkalmazvaLlj@\=f,{t.1(t)} -2'E\(t-o) r(r-a)} +L{(t-2(,) l(t-2d)} :I= -p2 \ - r"-", \ * e-2op : \j - r"-", + "-2"p) = l (r - "-"')'pz pz p', ' P'(A rlefinici6 szerint is szrimolhatunk, az f,{/(l);p} : u"''f(t)dt =I"= f" "-,t . t dt + [2' e-t'12o - r)dr integrriljai parciiilisan kiszrimithatciak ),o "o^_ (t-"-r1"87. .- aa. e-"p_l_:.P P+ O8e, Felirhatjuk, hogy e(l) = i(t) + f2(t), ahol hQ),= 1(t) - t 1(t - a)'- -',4r7.t:L.w _o' j,,norronrrr zr.16 dkalmazri"s6val Laplacc-trauszformi4.ltktint'I ad6dik.eo. /(r; : ft@:)+ fz1)= (ft-o)'tlt-")-(t-")'7(t-q) +(6-a) 1(r-tr) =(i-a)'1(t -")-(t- b)'1(t-b)1A Laplace-transzform t: (e-'? - e-'P) J-'er. f(,) = 11.1(t)-1.l(t-1)l +[2'l(li1-zi1r -2)l +13'l(t- 2)-3 l(t3)l + ... = 1(t) + 1(t - 1)+ 1(t -o')* ' .,':; rf t - "), eze']. LIJ(\I : -;: D"-l .. ha lp+l:"-n'r.1,?(1 - e-a )igy Rep>0.25.10
L, t'.pr :.93. Alkalmazzrrk a T 25.15 hasonl6srigi, rnajd az eredeti fiiggv6nyre r.ooatkoz6r 25.16 elrol6si tetclt. f{e(r);p} : i.*. ("r)94. 1. megold6s. A felsij 6bra szcrint / peri6-tlrrsa /r : 2o, igy T 25.17 (1)k6pletc szelnt-,
Page 1 and 2: Laplace-transzformici6 (nregoldisok
Page 3 and 4: I20. sl'(3i - iJ:' (t3t-\ +."r-3!)
Page 5 and 6: 25, Lapt!" r rarqzfofu,in.i,i37, ct
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Page 9: A.zr eftiz6 fclad a t rn"gc,ld;is{l
Page 13 and 14: T 25.21 szerint 6s a t6bl6zat V., r
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Page 17 and 18: 25. Laplace-transzfornuici6L27.t |
Page 19 and 20: l,aplace-transzformAci6tt'lrit a lr
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Page 23: I17l.,t DiIr.- l-|l(tItc'I,rlace t

t.-l ,\l"- r"

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