Question-173807

Question Number 173807 by mokys last updated on 18/Jul/22

Answered by aleks041103 last updated on 18/Jul/22

h (t) = \underset{0}{\int^{t}} f (x) g (t - x) d x

h i s t h e c o n v o l u t i o n o f f a n d g .

f o r c o n v o l u t i o n a n d t h e l a p l a c e t r a n s f o r m

{i t}^{'} s t r u e t h a t :

L [h] = L [f] L [g]

\Rightarrow L [h] = \frac{s + 2}{s^{2} + 1} \frac{s^{2} + 1}{(s + 3) (s + 2)}

\Rightarrow L [h] (s) = \frac{1}{s + 3}