A linear system is governed by the given initial value problem, where where g(t) is piecewise continuous on [0, ?) and of exponential order.
$y'' + 4y' - 21y = g(t)$, $y(0) = 0$, $y'(0) = 10$
Find the transfer function $H(s)$
$\frac{1}{(s-3)(s+7)}$
$\frac{1}{(s+3)(s-7)}$
$\frac{1}{(s+2)^2 + 5^2}$
$\frac{1}{(s-3)(s-7)}$
$\frac{1}{(s-2)^2 + 5^2}$
