Assignment:
By the method of separation of variables, solve the equation:
u(subscript tt) + 4u(subscript t) -u(subscript xx) = 5sin(2πx) for 0 ≤ x ≤ 1, with boundary conditions u(0, t) = u(1, t) = 0 and initial conditions Du(x, 0) = u(subscript t)(x, 0) = 0.