t.-l ,\l"- r"

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25. Laplace-transzformdci6Az eredeti egyenlet transzformriltjaf,\tutt(t\J -2r,1v'e)l :o
A.zr eftiz6 fclad a t rn"gc,ld;is{l r.z L a sonl6 szilrnit dssa.l. {clhasznrilva, -hog1.n', - lrr i,{ q I +I i^C. a ker,*, I r L;rplar,'r r a11.zfo111 r^t,'5rt,ll-, i:,,C{sh2l} rneghat6roz6srin6l inrlrrljrrrk ki sh I defirrici6j6b6l. A keresett Lapla_,.'tr auszfo"6lt: 1l', p. +' -+ ,.cl '' r I ,'_'Az cltiz6 lcla,lat szelilt "'1t-Lap)aec-r13;1.7fe1nr:iJrja lr, ,,-L.Az cr.,,l.rr''fiiggrcrry TI' +25.11 irrrcgr;iJrisi tFtcldt alkahnar\a.[1rsL2" ] 1 p:L \ /- ,/s )-- -- lll ---.lJo " J 4j. p._li81.83.T 25.14, rnajrl T 25.11 r:gyrrriis rrtii.rri a.lkalmaz6s6r6. 11,,41.P P _ QIldrrljulk ki 1 r:rrsI trarrszforrndltjib6l.I ,,,,"l.rDajd szirnitsuk ki ."u,1..-,l-,osi 1/-. |-'os.,',L,, , - ,r.\ rralszfornr:iltjatlt lnF(p) : -] t" p --!l]:\f(p+rJ2 +r!-z /-1+t6sF(2)f(t):.: tlflt);pj = ,-f- i..l;,1,:st.11r,., , ru.ru.z,rjrrtP'tP- t)c{, "'- I -,tt:pl - tlf l,tt)tt,l ll /t) I -L'L \n/ " (*)'(: * r)1i:11' -,t)F,U;'('-F) l{shrl} =Az dlta.l6,rrositott egysigfiiggv6rry grafikoujaaz iibrd.rr l6tlrat6. A t6Ll6zatuukl,.p--o-I. k6plcte szcrirrt l{1(t);p} - 1.r 25.16-b6l a {1ro (r):r,}: a {r(l-io)rpi- c-top L{t(t);t} - !"-,o0.P84. f(l\:- 1(l)- 1(t-r); az el6z6 fcladat rnegoldiis6t {elhaszu6.lvar{.r(r)) :4{1(r)} - c{1(r - .)}:! -" " -r - "-"'p p pNIegjcgyz6s. A rlcfiuici6 alapjriu tcirtrln6 mcgold6s:t.\f(t);pj - lo-. ,, yl4at = lo',-r,at=| +];:25.9
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
Page 7: 63. A r 25.12 t6tcl szcrinr LLf') -
Page 11 and 12: L, t'.pr :.93. Alkalmazzrrk a T 25.
Page 13 and 14: T 25.21 szerint 6s a t6bl6zat V., r
Page 15 and 16: !u,LapracP traxs7t,,r,,,;. j,lps I
Page 17 and 18: 25. Laplace-transzfornuici6L27.t |
Page 19 and 20: l,aplace-transzformAci6tt'lrit a lr
Page 21 and 22: I-Izs. r.^pr.*,t.""-i.,",a.i0!I 155
Page 23: I17l.,t DiIr.- l-|l(tItc'I,rlace t

t.-l ,\l"- r"

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