A B +-+ x2 Which of the following functions has Cr the partial fraction decomposition 2 +1 x2 + 1 52 – 5x + 2 А. 5x-5x +2 В. 5a-5x +2 C. xª + x² r3 + x2 x2 +x 5a6 – 5x + 2 D. E. 5x-5x +2 5a-5x +2 F. x4 + x2 r + x2 x2 + x F

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
A B
+-+
x2
Which of the following functions has
Cr
the partial fraction decomposition
2 +1
x2 + 1
52 – 5x + 2
А.
5x-5x +2
В.
5a-5x +2
C.
xª + x²
r3 + x2
x2 +x
5a6 – 5x + 2
D.
E.
5x-5x +2
5a-5x +2
F.
x4 + x2
r + x2
x2 + x
F
Transcribed Image Text:A B +-+ x2 Which of the following functions has Cr the partial fraction decomposition 2 +1 x2 + 1 52 – 5x + 2 А. 5x-5x +2 В. 5a-5x +2 C. xª + x² r3 + x2 x2 +x 5a6 – 5x + 2 D. E. 5x-5x +2 5a-5x +2 F. x4 + x2 r + x2 x2 + x F
Expert Solution
Step 1

We have to find the function having the partial fraction decomposition as below:

Ax2+Bx+Cx+Dx2+1.

Consider the option A. The denominator of the function can be written as

x4+x2=x2x2+1.

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