Chapter 5.3, Problem 15P

In each of Problems 9 through 24, using the linearity of $L^{-1}$, partial fraction expansions, and Table 5.3.1 to find the inverse Laplace transform of the given function:

$\frac{2s+1}{s^2-2s+2}$

TABLE 5. 3. 1

Elementary Laplace transforms.

$\begin{array}{cc}f(t)=L^{-1}\{F(s)\}& F(s)=L\{f(t)\}\\ e^{at}\cos bt& \frac{s-a}{{(s-a)}^2+b^2},s>a\end{array}$