Chapter 15, Problem 34P

(a)

To determine

Find the inverse Laplace transform $f\left(t\right)$ for the given function $F\left(s\right)=10+\frac{s^2+1}{s^2+4}$.

(b)

To determine

Find the inverse Laplace transform $g\left(t\right)$ for the given function $G\left(s\right)=\frac{e^{-s}+4e^{-2s}}{s^2+6s+8}$.

(c)

To determine

Find the inverse Laplace transform $h\left(t\right)$ for the given function $H\left(s\right)=\frac{\left(s+1\right)e^{-2s}}{s\left(s+3\right)\left(s+4\right)}$.