Chapter 2, Problem 2.59P

Use MATLAB to obtain the inverse transform of the following. If the denominator of the transform has complex roots, express $x\left(t\right)$ in terms of a sine and a cosine. Hint: you will find it convenient to use the conv function to multiply two polynomials.

1. $X\left(s\right)=\frac{5}{{\left(s+4\right)}^2\left(s+1\right)}$
2. $X\left(s\right)=\frac{4s+9}{\left(s^2+6s+34\right)\left(s^2+4s+20\right)}$