- #1
wavingerwin
- 98
- 0
Homework Statement
How to break down:
[tex]\frac{1}{(s^{2}+1)^{2}}[/tex]
into partial fractions?
Homework Equations
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The Attempt at a Solution
I have tried:
[tex]\frac{1}{(s^{2}+1)^{2}} = \frac{1}{(1+i)^{2}\times(1-i)^{2}} = \frac{A}{(s+i)} + \frac{B}{(s+i)^{2}} + \frac{C}{(s-i)}} + \frac{D}{(s-i)^{2}}[/tex]
and
[tex]\frac{1}{(s^{2}+1)^{2}} = \frac{As+B}{(s^{2}+1)^{2}} + \frac{Cs+D}{(s^{2}+1)}[/tex]
and
[tex]\frac{1}{(s^{2}+1)^{2}} = \frac{As+B}{(s^{2}+1)} + \frac{Cs+D}{(s^{2}+1)}[/tex]
but none of them works..
Please help