Let u(x,t) be a solution of the wave equation u_tt - u_xx = 0 in a domain D⊆ℝ². Let a, b be real numbers such that the parallelogram with vertices A_±=(x_0±a, t_0±b) , B_±=
a) Determine the domain D.
b) Find the values of a and b.
c) Solve the wave equation for the given domain.