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plugin-table - *l+,^^fa '5 q"6-tl =' J{...

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304 Chapter 6. The laplace Transform TABLE 6.2.1 Elementary Laplace'l'ransforms f(tl: f-'(Fts)) I(s): Llf (t)l tl l.l a ^oI 3. t": n : positive integer 4.tP, p>-l 5. sin at 6. cos at 7. sinhar 8. cosh at 9. e"'sinht 10. e"tcosbt ll. tneo', n - positive integer 12. u,(t) 13. u,(t)f (t - c) 14 e'' f (t) 15 f (ct], 16. I fG-t)R(t\dr l'7. 6(t - c) lg /'"'1r; 19,(-t\^f(t) I s>0 J I s>a J--d +. s>0 J'+l f(p+l) . J>U sP't a^ ---------t, s > u s'+a' C ------T' J > u s'+a' 4,, -, J>ldl J ,. -i------t' J>ldl s--a- b _=i__., j _ci ls-a)'+b' s-a -------- ", s>a (s - d)' + b' nl .-. J>a (s - a)nt' J>U l obfaineJ b5 rrs*.j
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Unformatted text preview: *l+,^^fa '5 q"6-tl =' J{ #"q*!' tt*t'Jlr* t = f,+;1":s*r*,. | [tl$= sFcs) -fo> J J{l'l-,1 = sr Frs) -sIror - f ht Li tfol = -$ Rrr t'Jtrl= t$f no U.(Q = rt(d u (t-c) Io, t<c =11, trrc .t e-"F1s) F(s - c) I zJ r-F{-1, c \c/ F (s) G (s) e '-c>0 s'F(s) - s"-r/(0) -- 1i^ rr161 '* ,,^rtr| f olJcr",Jir.t . ff \ .J ) d't' { \ Jl I t,: &b, *ll ca.'he &l&".ea by rc11r1+ '"'{+3 Jf{#l= oil1,i#,) = n{*y., Its4 W,'(1 c* l* obto*ul ! afp"tr"1*rl :ueruu-v{ t .2. gtl=,1 ; Jtrut= -t(*)=,$'; {t*#l =-$G+) =&,5 &....
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This note was uploaded on 06/01/2009 for the course MATH 245 taught by Professor Alexander during the Spring '07 term at USC.

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