Trouble Finding an Inverse LaPlace Transform

opticaltempest
Messages
135
Reaction score
0
I am trying to find the inverse LaPlace transform of

F(s)=\frac{2s+12}{s^2+6s+2\sqrt{2}}

Using partial fraction decomposition on the above rational expression seems tedious. Is there any other method?

Thanks
 
Last edited:
Physics news on Phys.org
You can look up the inverse transform in a table like
http://www.vibrationdata.com/Laplace.htm"
See lines 2.25-2.27
 
Last edited by a moderator:
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top