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November 18th, 2014, 06:32 PM  #1 
Member Joined: Oct 2014 From: NJ Posts: 44 Thanks: 2  How do I take this inverse laplace
1/(4s+1) Answer should be: 1/4*e^(t/4) 
November 19th, 2014, 12:33 AM  #2 
Senior Member Joined: Jan 2012 From: Erewhon Posts: 245 Thanks: 112  You reduce it to a form in the lookup table of Laplace transforms that you have. In this case the relevant item in the table I use is: $${\large{\mathcal{L}}} e^{a t}=\frac{1}{sa}$$ So you rearrange your LT to be:$$f(s)=\frac{1}{4}\left(\frac{1}{s(1/4)}\right)$$ ... CB 

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