Question

How to get the output of the LTI system, y(t)? Using previous result H(W) knowing that h(t)=e^(-2t)?

Answer 1

hello~
if you want the output in time domain, y(t)=(h*x)(t), in which x(t) means input and * means convolution.
if you want the output in frequency domain, Y(w)=H(w)X(w).
convolution in time domain maps multiplication in freq domain and vice versa