How to Solve Inverse Laplace Transforms for a Rational Function?

madmike159
Gold Member
Messages
369
Reaction score
0

Homework Statement



Find the Inverse Laplace Transform of \frac{200}{s^{2}+10s+200}

Homework Equations


The Attempt at a Solution



Normaly use partial fractions to get simple functions that can be transformed using a table of transforms.
 
Physics news on Phys.org
Write the denominator as:
<br /> (s+5)^2+175<br />
 
Thanks. Theres a identity I can use to solve it in this form.
 
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