I am wondering whether there is a way to find the inverse of Laplace transforms that have similar roots in the numerator and denominator. For example,
[L-]= [(S+x)(S+y) + 70]/(S+x)(S+y)(S+z)
from using the method of partial fractions, i get the following solution:
= [70/(y-x)(z-x)]*e^-xt + [70/(x-y)(z-y)]*e^-yt + [[(x-z)(y-z)+70]/(x-z)(y-z)]]*e^-zt
is this correct?