HW 04

Find $\stackrel{x(t)}{\overbrace{10[u(t-2)-u(t-3)]}}*\stackrel{h(t)}{\overbrace{e^{-t}u(t)}}$

$10[u(t-2)-u(t-3)]*e^{-t}u(t)=\{\begin{array}{ll}0,& t\le 2\\ \underset{t-3}{\overset{t-2}{\int }}10\cdot e^{-\lambda }d\lambda ,& t>2\\ \end{array}=\{\begin{array}{ll}0,& t\le 2\\ 10e^{3-t}-10e^{2-t},& t>2\\ \end{array}$