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If the system T.F. is The differential equation representing the system is

Correct Answer:

Explanation:


(s3 + 2s2 + 5s + 6)y(s) = (s2 + 4) x (s)


s3y(s) + 2s2y(s) + 5sy(s) + 6y(s) = s2 x (s) + 4 x (s)


Replacing s by and y(s) by y(t) and x(s) by x(t) we get


y(t) + 2y(t) + 5y(t) + 6y(t)


= x(t) + 4x(t)


+ 2 + 5 + 6 = + 4x


This is required differential equation.


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