Inverse laplace of this beheemoth

  • Thread starter Thread starter runforest
  • Start date Start date
  • Tags Tags
    Inverse Laplace
runforest
Messages
4
Reaction score
0

Homework Statement


I had to solve an IVP using laplace transforms.
the answer should be the laplace inverse of:
(1-2e^(-s/2)+2e^(-s)+se^(-s))/((s^2)(1-e^(-s))(s^2+10s+14))


Homework Equations





The Attempt at a Solution


i tried partial frac. decomp. and failed miserably. I also tried wolfram and it did not work.
 
Physics news on Phys.org
runforest said:
I had to solve an IVP using laplace transforms.
the answer should be the laplace inverse of:
(1-2e^(-s/2)+2e^(-s)+se^(-s))/((s^2)(1-e^(-s))(s^2+10s+14))

This looks way too complex (for a homework question).
What was your original problem?
 
yea sorry. I figured it out. I did not have to inverse it.
I also don't know how to delete a post. :(
 
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