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## Homework Statement

Find the impulse response of a system with transfer function H(S) = (s+3)/(s^2+2s+1)

or H(S)=(s+3)/[(s+1)^2]

## Homework Equations

Poles are s1=s2=-1

y = Ae^st + Be^st

## The Attempt at a Solution

In my notes I do not have an answer for the case when there is only one pole (root) to the denominator of the transfer function.

I know the cover-up method and it doesn't look like it will work here.

Also tried solving for the step response and differentiating to get the impulse response as shown here: http://tinyurl.com/c5uhzcv

But I cannot find the step response that way either. Thanks!