Recent content by nathangeo

I know the Laplace transform is a linear operator but i wanted to do it all in one operation.

It comes through inspection. And that summation doesn't appear in the problem anyways but it's similar. What I mean is a polynomial of degree n. For example if n=3 you would have A_0+A_1(t)+A_2(t^2)+A_3(t^3)

Interesting, so that evaluates to one correct? And this is an integral. Specifically the Laplace transform of [(A_n)(t^n)] so any nth root polynomial

Consider the summation ∑,i=0,n (t^(n-i))*e^(-st) evaluated from zero to infinity. You could break down the sum into: (t^(n))*e + (t^(n-1))*e + (t^(n-1))*e + ... + (t^(n-n))*e ; where e = e^(-st) To evaluate this, notice that all terms will go to zero when evaluated at infinity However, when...