Differential Equations and Linear Algebra (4th Edition)
4th Edition
ISBN: 9780321964670
Author: Stephen W. Goode, Scott A. Annin
Publisher: PEARSON
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Question
Chapter B, Problem 14P
To determine
The partial fraction decomposition of the given rational function.
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B
B1. If
(x-1) (x+1)² (x-1) ' (x+1) ' (x+1)*
C
using partial fractions, then find the value of 24-2B+2C.
4. Given a rational function: r(x) =
3x2-2x+4
x3-2x–4x+8
Factor the denominator completely. Make sure you justify your answer by showing all the
steps.
a.
Use part (a) to write the form of the partial fraction decomposition for r(x). Make sure you
justify your answer by showing all the steps.
b.
Page 1 of 2
Simplify part (b) to set up a system of linear equations to find the coefficients of the partial
fraction decomposition. Make sure you justify your answer by showing all the steps.
C.
Chapter B Solutions
Differential Equations and Linear Algebra (4th Edition)
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