Question

III Brannan, 3e, PROBLEMS In each of Problems 1 through 8, find the unknown constants in the given partial fraction expansion

Need help with question 2, 4 and 6 please

Also, find the ILT of each expression

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Answer #1

ai 2 (2) 35+4 (5+2)² (5+2) (5+2)2 Solution :- 35+ 4 = = (512) a, + (5+2)2 (372)2 35+ 4 = sa, +(20,10₂) (5+2)2 (5+2)2 sa,=35 J35² +251 2 11 + 2 3 s + 2 S 3 s2 S3 guverse Laplace Transforme of 35242 5+2 S 3 [ { }} + 12 13 ( 22 23 3 - 2t + t² he knowI al + a2 + -233_85²85 +6 (5+3)(511)52 b + c 3+3 St1 S S2 s(5+3)(511) a + (S13) (5+1), tbs²(5+1) + c(+3)s? S2(513) (511) RHS.302= 3a+ua, 2 09 = 2 0,2 uaita, +6e3c: 8 2 + b +36-8 bh30 - 10 1+2 1c-4 2 & 2 st3 S+1 sz Inneuse Laplace Transform by sa 3 -2

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