Page 54 - LAPLACE TRANSFORM

( ) +

2
s + 3 2

( ) +

2
s + 3 2
+
{ }
s + 3 2
2

s + 5
6. (s ) =
F
( + 2 )(s 2 + 10 + 41 )
s
s

2
s + 5 = A(s + 10s +41) + (Bs + C)(s+2)

2
when s= −2; s + 5 = A(s + 10s +41) + (Bs + C)(s+2)
2
(−2) + 5 = A(−2 + 10(−2) +41)

3 = A(4 −20 + 41)
3 = 25

=

2
s + 5 = A(s + 10s +41) + (Bs + C)(s+2)
2
2
s + 5 = As + 10As +41A + Bs + 2Bs +Cs+2C
2
s ; 0 = A + B ............................... (1)
1
s ; 1 = 10A + 2B + C .................. (2)
0
s (without s); 5 = 41A + 2C ......................... (3)

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