Problem 2:
Expand the following function F(s) into partial fractions using MATLAB. Determine the inverse Laplace transform of F(s).
F(s) = 1 / (s^4 + 5s^3 + 7s^2)
The MATLAB program for determining the partial-fraction expansion is given below:
Problem 3:
For the following function F(s):
F(s) = (s^4 + 3s^3 + 5s^2 + 7s + 25) / (s^4 + 5s^3 + 20s^2 + 40s + 45)
Using MATLAB, find the partial-fraction expansion of F(s). Also, find the inverse Laplace transformation of F(s).
Problem 4:
Find the Laplace transform of the following function using MATLAB.
f(t) = 7t^3 cos (5t + 60°)
f(t) = -7te^-5t
f(t) = -3 cos 5t
Problem 5:
Determine the inverse Laplace transform of the following functions using MATLAB.
F(s) = s / (s(s + 2)(s + 6))
F(s) = (3s + 1) / (s^2 + 2s + 9)