laplace-transform-table - 3 l" n=1,2,3 I l:91” 4...

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Unformatted text preview: 3 l", n=1,2,3,... I. l. :91”: 4, 1P,p>_1_ . r(p-:-l) . I _ _‘?’+ 5.‘ ”J? ‘ fl 6. ("‘1 n=1 23 ————1'3'5"‘°(2"—1)‘/’7 ‘ 253' ’ ’ ’ ’ 2,311+!» 7.”; sin (at) . s” :a’ 8. cos (at) . .- 32 :a’ ' . ' ' 2as . - ‘ 32 _a2 9- tsm(at) ' '- ' (32 +ag)2 .10. tcos(at) -- (32 +a2)2 . . " 20’ _ ' 2as2 . 1.1. sm (at) -— at cos (at) (.92 + a2)2 12. sm (at) + at cos (at) (52 +02), _ . s(s2 —a’) . ' 3(1'2 +302) 13. ms (at)— atsm (at) (s: ”2); 14. cos (az)+ at sm (at) (32 M2 )2 15.‘ sin (at +6) M 16. cos (at + b) 3 cos (b) “a Sin (b) . :2 +a2 1'2 +a2_ 17. sinh(at) s: in: '18, cosh(at) s: :02 b s —a ' 19. e"sin(br) My”. 20. airman) . (MW, 21. e“ sinh (bf) - b2 2 22. e" cosh (bl) S ——2a 2 (3‘0) ‘b (s—a) -b n! I 1 23, (near, 71 = 1,2,3,... (s_ a)»+1 24. f(ct) : ;F(%) _ 5k 25. "c(’)=“("c) E: 26, 5('—0) e-., ' Heaviside Function . s Dirac Delta Function * 27, uc (I) f (t—c) e""F(s) 28,. uc (t)g'(t) e'°£ {g (t+c)} 96 29. e“f(t) . F(s —c) 30. t" f (r), n = 1, 2,3,... (-1)" 1:4») (3) 31. %f(t) j:F(u)du 32, I; f(v)dv ng) 33- Life—wad: chm 34. f(r+r)='f(r) NW)“ 1—e'” 35- ”0 5F(S)-f(°) 36. f ' (r) s2F(s')-sf(0)—f'(o) 37- M) s"F(s)—s"~v(o)—s~-2r(o)-~—s/("-*)(or/M(o) @2004 Paul Dawkins My“? $2sz 51,,ng 40 v {N 9% NvTE: u (£~C)?U(t—C): 014+): 11.4:1 C. ...
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