Page 45 - LAPLACE TRANSFORM

5s + 1
)
2
(s − 3s − 10)

5s+1 = 5s+1 = A + B
2
(s − 3s −10) (s+2)(s−5) (s+2) (s−5)

3.2 Rules of Partial Fraction Decomposition

Factor in
Case denominator Term in partial fraction
decomposition
The linear

factor ( + )( + ) ( + ) + ( + )
The
quadratic
form of a ( + ) + ( + ) + ……………..
1
2
linear ( + ) +

factor ( + )
(repeat)

The
quadratic +
form that ( + + ) ( + + )
2
2
cannot
factorized
The + + + +………..
2
2
2
quadratic ( + + ) ( + + )
+
2

factor that ( + + ) + ( + + )

2
repeat

38