$14\mathrm{.}21$ Use Th$$venin$\text{'}$s theorem to find $v_o(t),t>0,$ in the network in Fig. P$14\mathrm{.}21.$ cs

$Z_{TH},\{\begin{array}{c}\text{:}{I}_1\end{array}=\frac{1}{s+2},I_2=\frac{2}{s}$

$\frac{4}{s}=V_{0C}-2I_2-2s{I}_1$

$V_{0C}=\frac{4}{s}+\frac{4}{s}+\frac{2s}{s+2}=\frac{8}{s}+\frac{2s}{s+2}$

$V_{OC}=\frac{2s^2+8s+16}{s(s+2)}$

$Z_{THt}=2s+2$

$V_0=\frac{V_{OC}(1)}{1+Z_{TH}}=\frac{2(s^2+4s+8)}{s(s+2)(s+1\mathrm{.}5)2}=\frac{s^2+4s+8}{s(s+1\mathrm{.}5)(s+2)}=\frac{\frac{8}{3}}{s}-\frac{\frac{17}{3}}{s+1\mathrm{.}5}+\frac{4}{s+2}$

$V_0(t)=[\frac{8}{3}-\frac{17}{3}{e}^{-1\mathrm{.}5t}+4e^{-2t}]u(t)V$

The professor asked that we find a question and change the wording of the question or something similar, and if the idea of $$change is nice, he will give us grades on the subject of Laplace. This question I want you to give me ideas to add or delete something so that the question changes to give a strong idea.