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August 18th, 2013, 01:39 AM  #1 
Newbie Joined: May 2012 Posts: 5 Thanks: 0  Inverse Laplace transform
Could someone find inverse Laplace transform from: I've tried solving it using convolution theorem but it seems like a fair amount of work for an school exam problem, so I thought there should be some easier soulution. Thanks. 
August 18th, 2013, 03:51 AM  #2 
Senior Member Joined: May 2011 Posts: 501 Thanks: 6  Re: Inverse Laplace transform
The poles are Now, use Find the residues at for and add them. Your solution will pop out. i.e. the residue at is Find the residue for and add to this one. You have the inverse LaPlace. Of course, you can write it in terms of sin(t) and cos(t). 
August 18th, 2013, 05:49 AM  #3 
Newbie Joined: May 2012 Posts: 5 Thanks: 0  Re: Inverse Laplace transform
I didn't even consider that aproach. :/ Thanks a lot. 

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