For the linear, time-invariant system whose block diagram is shown in figure with input $x(t)$ and output $y(t)$,
- Find the transfer function.
- For the step response of the system [i.e. find $y(t)$ when $x(t)$ is a unit step function and the initial conditions are zero.]
- Find $y(t)$, if $x(t)$ is as shown in figure and the initial conditions are zero.