$13\mathrm{.}71$ a$)$ Use the convolution integral to find $v_o$ in the circuit in Fig. P$13\mathrm{.}71($a$)$ if $i_g$ is the pulse shown in Fig. P$13\mathrm{.}71($b$).$

b$)$ Use the convolution integral to find $i_o.$

c$)$ Show that your solutions for $v_o$ and $i_o$ are consistent by calculating $v_o$ and $i_o$ at ${100}^{-}ms,{100}^{+}ms,{200}^{-}ms,$ and ${200}^{+}ms.$

Figure P$13\mathrm{.}71$