How do I take this inverse laplace?

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Homework Statement


find the inverse laplace

Homework Equations


L^(-1)[(s+1)^2/(s+2)^4]

The Attempt at a Solution


included in attachment. the top problem, #20.
 

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shreddinglicks said:

Homework Statement


find the inverse laplace

Homework Equations


L^(-1)[(s+1)^2/(s+2)^4]

The Attempt at a Solution


included in attachment. the top problem, #20.
Check your partial fractions work. Your value for A and B are correct, but the values for C and D aren't.
 
ok, I see it now, thanks!
 
Last edited:

Thread 'Finding the nth roots of a complex number'

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...
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