I have a textbook problem I am trying to solve with no luck.
I know 1/(u^2 -1) = 1/2 [ 1/(u-1) - 1/(u+1) ]
I come so far to see that 1/(u^2 -1) = 1/ [(u-1)(u+1) ]
But I don't know what comes next. Could somebody please give me a hint.
Well you factored your denominator correctly. Now try to work the other way arround. "Suppose" you can split your fraction into two parts, and then try to find the right coefficients. So suppose that:
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