1. Dec 9, 2014 #1

   shreddinglicks

   

   1. The problem statement, all variables and given/known data
   take inverse laplace of:
   
   6/[s^4(s-2)^2]
   
   2. Relevant equations
   6/[s^4(s-2)^2]
   
   3. The attempt at a solution
   I used partial fractions. I was wondering if It could be manipulated to where I could use the laplace table?

    

   shreddinglicks, Dec 9, 2014
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3. Dec 9, 2014 #2

   vela

   

   Staff Emeritus

   Science Advisor

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   If you don't want to use partial fractions, you could evaluate the Bromwich integral:
   $$\frac{1}{2\pi i}\int_{\sigma-i\infty}^{\sigma+i\infty} \frac {6 e^{st}}{s^4(s-2)^2}\,ds$$

    

   vela, Dec 9, 2014
4. Dec 9, 2014 #3

   LCKurtz

   

   Science Advisor

   Homework Helper

   Gold Member

   You could write it as$$
   \frac 6 {s^4}\cdot \frac 1 {(s-2)^2}$$inverse both factors using table methods, and take the convolution for your answer. Not sure it would be any easier though.

    

   LCKurtz, Dec 9, 2014

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