00:01
Let's take a look at this problem.
00:03
So we have f of s equal to 1 by s into s plus 4.
00:12
So i want to find the inverse transform of f of s.
00:25
And i'm going to use convolution theorem to find this.
00:37
Okay, so let's take inverse laplace on both sides.
00:41
So l inverse of f of s equal to l inverse of 1 by s into s plus 4.
00:53
So let me break these terms into so i get l inverse of 1 by s into 1 by s plus 4.
01:09
So now my l inverse f of s becomes these two functions.
01:22
And let me write these as l inverse of p of s into q of s.
01:33
Let's take this as 1.
01:41
Now here l inverse of p of s is equal to l inverse of 1 by s which is 1.
01:54
And l inverse of q of s equal to l inverse of 1 by s plus 4 which is equal to e power minus 4t...