5. (20 pts) The wave equation is the following partial differential equation: at2 (t, x) = 202u Or2 (t, x). Assume the following boundary conditions u(t, 0) = 0, dru(t, 1) = 0 and the initial conditions u(0, x) = 1, Qu(0, x) = 0 are imposed. By using the general strategy discussed in this course, solve the wave equation with c = 1 and with the boundary and initial conditions stated above (that is, find what we called the "general solution" ). In your answer, you may assume that A