Page 90 - LAPLACE TRANSFORM

2s = A( + ) + (Bs + C) (s – 2)

2
2
2s = As + 10A + Bs – 2Bs + Cs – 2C
2
s : 0 = A + B ----------------- (1)

s: 2 = – 2B + C ------------- (2)

Without s: 0 = 10A – 2C ----------- (3)

A =

From expression (1): 0 = A + B

B= – A = –

From expression (2): 2 = – 2B + C

C = 2 + 2B = 2 + 2(– ) = 2 – = –

C =

I(s) = A + (Bs+C)
2
(s − 2) (s + 10)

10
2 (– s+ )
2
I(s) = 7 + 7 7
2
(s − 2) (s + 10)

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