EXERCISES 10.2

*10.2.1. 
Determine complex $c(w)$ so that (10.2.11) is equivalent to (10.2.9) with real
$A(w)$ and $B(w)$. Show that $c(-w) = \overbar{c}(w)$, where the overbar denotes the
complex conjugate.

10.2.2. 
If $c(-w) = \overbar{c}(w)$ (see Exercise 10.2.1), show that $u(x,t)$ given by (10.2.11)
is real.