Question

Determine the inverse Laplace transform of F(s) = s+11 (8-1)(8+3) 3 s-1 2 s+3 o 3 s-1 5 s +3 o 3 s-1 2 s+3 + 이음 이 - 유 2 S-3 s +3

Answer 1

Qa Determine the inverse Laplace transform of F(S) = S + 11 (S-1) (5+3) Solution partial fraction firstly salve -- F(S) A S+ 11 (5-0)(5+3) ci) - + S-1 */ S+3 5+11 (5-1)(5+3) A(5+3) + B (S-1) (5-1)(573) 5+11 S(A + B) + 3A Compare both side the coefficient of s and constant A+B 3+ B 3A - B B ИА 12 A = 3 Put the value of A and B in cq" ;) F(S) 3 २ S7 (5-1)(5+3) Answes S-1 S+ 3 option (A) is correct

Option (a) is correct and

Inverse Laplace of given question is

f(t)=3e^(t) - 2e^(-3t)

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