Chapter 15, Problem 27P

(a)

To determine

Find the inverse Laplace transform $f\left(t\right)$ for the given function $F\left(s\right)=\frac{1}{s}+\frac{2}{s+1}$.

(b)

To determine

Find the inverse Laplace transform $g\left(t\right)$ for the given function $G\left(s\right)=\frac{3s+1}{s+4}$.

(c)

To determine

Find the inverse Laplace transform $h\left(t\right)$ for the given function $H\left(s\right)=\frac{4}{\left(s+1\right)\left(s+3\right)}$.

(d)

To determine

Find the inverse Laplace transform $j\left(t\right)$ for the given function $J\left(s\right)=\frac{12}{{\left(s+2\right)}^2\left(s+4\right)}$.