How to simplify/get rid of this term: 1.3e29*lap​lace(1.0/(​8.9e32*exp​(40.0*t) - 1.8e33*exp(20.0*t) + 8.9e32), t). ?

I want to get the Laplace transform of this term, I might be missing somthing somewhere but I'm not sure. Any help will be appreciated.

Answer 1

[Walter Roberson]

laplace transform of 1/(exp(t)+c) does not appear to exist, and laplace transform of 1/(exp(a*t)+exp(b*t)) does not appear to exist either.

[N/A]

Thanks for the answer, is there a way around this? my goal is to find the transfer function and use it in a feedback controller.

[Walter Roberson]

taylor series ? Just watch out for large t though.