Use partial fraction expansions to find the inverse Laplace transforms (the time system responses) of the following functions:

(a)

\[Y_{1}(s)=\frac{5}{s(s+1)(s+10)}\]

(b)

\[Y_{2}(s)=\frac{2 s}{s^{2}+8 s+16}\]

(c)

\[Y_{3}(s)=\frac{s^{3}+2 s+4}{s^{4}-16}\]

Transcribed Image Text:

w(t) b 1 Figure 3.42 Rotational mechanical system. Negligible Inertia b 2