00:01
Hello students, here we need to find the inverse laplace transform of the function given b of s is equal to 400 divided by s square plus 8 s plus 400.
00:15
So when we look at this, we have a square plus 2ab form.
00:23
Now we need b square here.
00:27
Here in place of a we can write s plus 2 into s.
00:34
2s is there in order to get here.
00:36
8s, the b must be equal to 4.
00:40
Then b square will be 4 square.
00:44
So from this consideration, we can write 400 divided by s plus 4 whole square.
00:53
When we split this, we again get this term.
00:59
So if we get s plus 4 whole square, that means the 400 must be split into 4 square and remaining 384.
01:12
So 4 square is taken in this, then remaining 384 is written here.
01:20
This is because s square plus 8s plus 16 plus 384...