A function u(t , x) is said to be time periodic with least period p if u(t + p, x) = u(t , x), and p is the smallest number to make this true. Find a solution u(t , x) to the wave equation with c = 1...

A function u(t , x) is said to be time periodic with least period
p if u(t + p, x) = u(t , x), and p is the smallest number to make this true. Find a solution
u(t , x) to the wave equation with c = 1 and homogeneousDirichlet boundary conditions
on [0,1] such that u has period 2/3.