General Contents
Detailed Contents
Index
Programmed tutorial: Partial Fractions Example 3
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Find the
partial fraction decomposition
of
General Contents
Detailed Contents
Index
Set up the partial fractions.
How do we proceed?
We can determine
A
and
B
by combining the terms on the right hand side.
What is the least common denominator for them?
(
s
– 5)*(
s
+ 3)
Combine the fractions?
Distribute the multiplication on the right-hand side.
We get
Collect like terms.
What do we do next?
We equate coefficients of like powers of
s
.
Do that.
For
Equation 1
For
Equation 2
We need to solve these simultaneously.
The
Substitution Method
looks like an easy way here.
Solve equation 1 for
B
in terms of
A
.
Equation 3
Substitute this into equation 2.
Solve for A.
Use this in equation 3 to find B.
Use these results to rewrite
F
(
s
) in terms of partial fractions.
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