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
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Chapter2: Second-order Linear Odes
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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.
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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