Let-s-define-linear-Operator-L-as-L-0-e-st-L-W-t-W-t-is-inverse-function-of-y-t-te-t-t-1-e-

Question Number 203199 by MathedUp last updated on 12/Jan/24

{Let}^{'} s define linear Operator L as L = \int_{0}^{\infty} e^{- s t} \cdot

L {W (t)} = ? ? ?

W (t) is inverse function of y (t) = {t e}^{t}, t \in [- \frac{1}{e}, \infty)

Commented by shunmisaki007 last updated on 13/Jan/24

I have removed my answer to apologize

my misunderstanding .

However, I still have no way to find

\underset{0}{\int^{\infty}} e^{- s t} W (t) d t .