00:01
This problem, a transfer function is given that is f.
00:04
.of s is equal to 10 divided by s dot into s plus 2.
00:11
This is the transfer function.
00:13
We need to find out these steps response, impulse response, and response of the system when the input is given.
00:20
Now for the first problem, we need to find out the step response.
00:25
Therefore, f of s is equals to 10 s into.
00:30
To s plus 2.
00:32
F of s is equals to 10 s into s plus 2.
00:37
Now we know that y of s is equal to r of s into f of s.
00:45
Therefore for the step response r of s is equals to 1 by s which implies y of s is equal to 1 by s into 10 into s into s plus 2.
01:02
Is equals to 10 into s plus 2.
01:06
Therefore, y of s is equal to 10 into s plus 2.
01:09
Now here we need to apply the inverse laplace transform here.
01:13
Therefore, after applying the inverse laplace transfer, we get y of s, l inverse of y of s is equals to l inverse of 10 into s plus 2.
01:27
Now using the formulas, we get y of t is equal to 10 into s plus 2...