25. Laplace-transzformrici6L-, {F(p)} =' L- {@:;+r\*l " {6 _ = #rr\= 2et cos2t + 1el sin 21.lO8.l.megoldis (elemi tortekre boutrissal).6fu : 6+.6$,.-'tr+) =t", +r]"'2. megoldris (a kifejtdsi t6tel T 25.31 dltalenos alakjnb6l).'' {#ry;'}= a}t" n#[r'- rrr5al =2. megoldds. A sz6mlil6t F1(p)-vel, a nevez6t F2(p)-vet jelalverrb)Fz(p) (p- 1)r(p - tXp + t)'A T 25.31 kifejt6si titelt alkalmazra:=lyn6ntp+ptr = r",(r + j) .3. megoldr4s. (a kifejt€si t6tel T 25.32 speci6Jis a.lakjrib6l).,-''{;",,}=i}+[,,-,y-,l *. r,*.i g#[r_,rr:"] t ",,*r0e.1. meeordds,=;",-' {5 _ }6;l;'}.+ Is *L,lr- ,r6j,F] # "',-,]",+,",=-*.ir+*-5{;= -", + r", + "o"r.miatt:f(t) = L' {+B}= ai g f;ft,-'t,5 _}6* u*'1,*6$ y:1[o-'r *,1*(p-1),(p-tXp+t)z:*^tl1,!'gr, [to*or (p- l),(p-i)(p+i)- I'25.1,1
!u,LapracP traxs7t,,r,,,;. j,lps I L;ir,'rrr liat,ir,ilrF[ ,, r,,lr, .,, ,.], . ]3. nregofd6s (rT 25.32 "1,,,,.i,ili" ,l^k ,2r,,,.;,,?szlrirrt:) .) -{iagokI /,t: l grr,krrek rl"gfclelcii ,l*,f','-rt';,,-1nj;JJ"' i .'**i,Bft''-rt'-,, -?-rl # .'=2 , ,, r \'a"' + I,i!: (,,r; ,' -r]7,t - ,rl..r;. ., l,l r /'r ,-ir,,t.tr.,k rrr,1,f, I.r.. ras .l irsszr'gr:rr,k kisz:irlitiisrirriiJra\/rrjrt.luk :r I I Il, j,/,,rj,,..,iA,,r=. n({,,,s/ } rsirr/)_ ro.i- n,,(.,'):,\r;rq,,t,^..,,-, ,110.1 ,, 12,-:t1n.:(,'+'{t,,t''lI t:l t') ), i il\/(.os/ I sj,,/)1rr.](,, ri,s/-l.si,,i)113'[Iiv.l,r]ll irrv,rz;ra1 ti:1 1 ;rlf ;,i|I- rr1)l^.(.-t, I rl -lr r.a 'szt' '1tt rr _ -. r.!\7rr!r(r'J(l,)--1f,rrriirtj ^ isknnvaslirt(i a t;ii,l;jz;rllrril. a7 i,l(,lrj'ri,rt{,k i;ssr(,g{,k(1ut valrj rlij;illitrt. lrtilrt.rra!' .4t. B (.t+D{/,: r.l)t,r,it, 1..1 t; rj-l -7(l.t;illir:iss;,1 ;",tolg,,zL;rrrrrrk. Z: I I t, ,l :' (^2/-drr[(,r+rlrr*11't/rt4.(t +-(-! (,.,*:r+f ";,,:,).115.1 l ,+ Ji 8 rl i, : t:7,:,:r..125.15
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