1.)  Using the partial fraction expansion method and Laplace transforms, find the response y(t) of the system for 

a) Unit impulse input, 

b) Unit step input.

 For both cases, plot the graph of y(t) in MATLAB. Include your code!

2.) Obtain the graph of y(t) for 

a) Unit impulse input, 

b) Unit step input, by using MATLAB commands impulse() and step().

 Include your code! Compare the results with the ones you obtained in Question 1.

3 s^3 + 49 s^2 + 88 s + 59