Partial Fraction Decomposition

  • Thread starter opus
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  • #1
opus
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Homework Statement


Find the partial fraction decomposition for:

##\frac{1}{\left(x^2-1\right)^2}##

Homework Equations




The Attempt at a Solution


Please see my attached images. I think the image shows my thought process better and it would take me well over an hour to type all that out!

Im stuck at the very end, where it results in a true statement, yet I'm trying to get values for A and C (Step iv-c)
 
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Answers and Replies

  • #3
Stephen Tashi
Science Advisor
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Try solving the simultaneous equations
## -A - 2B - C + 2D = 0##
## A + B - C + D = 1 ##
instead of the two you choose.

If you add the two equations you choose, you can see that ##A## and ##C## are eliminated from the result, which suggests the two you selected don't provide information about the individual values of ##A## and ##C##.
 
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  • #4
opus
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Great thank you!
 
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