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June 11th, 2018, 03:57 AM  #1 
Senior Member Joined: Oct 2015 From: Greece Posts: 115 Thanks: 8  Simple Laplace Exercise Help!
I'm doing something wrong when splitting the fraction, but I can't understand what. Probably I haven't understood the method correctly. At the bottom of the image, you can see the correct answer after splitting the fraction (I got it from the solution of this exercise.) The exercise asks us to do the reverse operation of Laplace transformation. Last edited by skipjack; June 11th, 2018 at 08:53 AM. 
June 11th, 2018, 09:06 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,484 Thanks: 2041 
You initially proceeded as though no term with s in the numerator is needed, which isn't the case. Instead, try including a Cs/(s² + 1) term. You should then get A = 1, B = 2/3 and C = 1/2. 

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