For each set of coupled differential equations given with equation inputs on right and outputs on left

  1. find the block diagram representing the system of equations where x(t) is system input and y(t) is

    2. system output,

  2. reduce the block diagram to one block containing the transfer function H(s) = Y(s)/X(s),
  3. use matlab to plot the system’s impulse response (y(t) when x(t) = d (t)) and step response (y(t) when x(t) = u(t)), and
  4. find the Fourier Transform of the impulse response H(w ) and plot its magnitude and phase.

 

Note: for parts c) and d) use subplot to get all four plots on same page.

 

    2.  

     

    3.  

     

 

 

4.