We want to find partial fraction decomposition of a rational function whose denominator is given below: (x²-4) (x+3)(x² +9)² A student list the decomposition as 1 A(x² - 4) + 8 +3 +C (249) + which is clearly wrong. Write down the CORRECT partial fraction decomposition. Use A, B, C, ... to denote coefficients.
We want to find partial fraction decomposition of a rational function whose denominator is given below: (x²-4) (x+3)(x² +9)² A student list the decomposition as 1 A(x² - 4) + 8 +3 +C (249) + which is clearly wrong. Write down the CORRECT partial fraction decomposition. Use A, B, C, ... to denote coefficients.
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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![We want to find partial fraction decomposition of a rational function whose denominator
is given below:
(x²-4) (x+3)(x² +9)²
A student list the decomposition as
1
(x²-4)
1
+B+3+(x² + 9)²
+C
which is clearly wrong. Write down the CORRECT partial fraction decomposition. Use A, B, C, ...
to denote coefficients.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb43bdb04-656a-4707-bc01-c4df169a98de%2F9d575c6f-b4a2-41c8-9efe-9bb63ecb46ec%2F3fqqx1k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:We want to find partial fraction decomposition of a rational function whose denominator
is given below:
(x²-4) (x+3)(x² +9)²
A student list the decomposition as
1
(x²-4)
1
+B+3+(x² + 9)²
+C
which is clearly wrong. Write down the CORRECT partial fraction decomposition. Use A, B, C, ...
to denote coefficients.
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