Answer to Question #64238 in Calculus for Buono11

Question

Question 1:
For the following transfer function:
H(S)= (s^2-1)/(s^2+s+1)


Plot the poles and zeros in the s-plane and determine and sketch the inverse Laplace transform h(t ) using Matlab..
Question 2:

For the following transfer function:
H(S)=3+((S+4)/(S^2+3S+2))

Find and sketch the inverse Laplace transform h(t) using Matlab..
Question 3:
Solve the following second order differential equation:
y"+4y' +3y=4e^-3x
, given that y(0)=1 and y'(0)=-1
and sketch the output y(t) using Matlab.