Solve Equation 7.113 for zero initial conditions and for each of the following forcing functions:

(a) \(p(x, t)=u(t)\), where \(u(t)\) is the unit step function

(b) \(p(x, t)=\sin \Omega t\)

(c) \(p(x, t)=e^{-\varphi t}\), for \(t \geq 0\)

(d) \(p(x, t)=\sin \Omega t\), for \(0 \leq \Omega \leq \pi / 2\).

y(x,t) = (x) j=1 [*] mp(E,T); ()d 9;(tr)dr. (7.113)