For the system in Question 1 the step response yt for input

For the system in Question 1, the step response y(t) for input x(t) = u(t) of a causal system has the form Y(s) = A/s + B/s-1 + C/s+5. Which one of the followings is the correct y(t)? y(t) = Au(t) + Be^t u(t) + Ce^-5t u(t) y(t) = Au(t) + Be^t u(-t) + Ce^-5t u(t) y(t) = Au(t) - Be^t u(-t) + Ce^-5t u(t) y(t) = Au(t) + Be^-t u(-t) + Ce^-5t u(t) None of the above.

Solution

Option A is correct.

y(t)=Au(t)+Be^t*u(t)+Ce^(-5t)*u(t)