3.4.3. Given the equations for a uniform tightly stretched vibrating string with ho- mogeneous fixed ends and initial conditions, subject to BCs: J²u = at² მx2 (3.30) u(0,t) = 0 (3.31) u(L,t) = 0 and ICS: u(x, 0) = f(x) Ju(x, 0) = g(x). at Show that if this problem has a solution, then the solution is unique. (3.32)