Page 84 - LAPLACE TRANSFORM
P. 84
Therefore the Partial Fraction :-
s 2 − s + 2 1 22 8
= − + +
s ( −s 5 )( +s ) 2 5s 35 ( −s ) 5 14 ( +s ) 2
Inverse Laplace Transform:-
s 2 − s + 2 = L 1 − {− 1 }+ L 1 − { 22 8
{
}+ L
1 −
( +
s ( − 5 s ) 2 5s 35 s ) 5 14 s ) 2 }
)( +
( −
s
1 22 4
t 5
= − + e + e − t 2
5 35 7
77
