00:01
Hello students, here the differential equation of the system is given as d square x divided by dt square plus 2 into dx by dt plus 3x equal to 1.
00:18
So, this is our equation number 1 and this is the given differential equation.
00:23
So here we need to calculate its transfer function and calculate the block diagram for it.
00:31
So, first we can write this differential equation in laplace domain.
00:41
Laplace domain that is s square x of s plus 2s x of s plus 3 of x of s equal to 1 divided by s.
00:57
So, this is our equation number 2.
01:00
So here in this differential equation, this first double derivative is integrated part and the single derivative is have the derivative part in the block diagram and this integers 2 and 3 are have the multiplication block.
01:37
So from this we can draw the block diagram.
01:43
So for that first we need to calculate the transfer function.
01:46
So here we can write x of s equal to 1 divided by s into s square plus 2s plus 3.
01:58
So then we can write the transfer function as transfer function as h is equal to xs divided by us.
02:25
So we will get 1 divided by s into s square plus 2s plus 3...