Semi- Infinite String: consider the following wave equation describing the semi-infinite vibrating string problem ya u 67: m, x>0, t>0, Mam=fl X>0 $(x) = g(x), x > 0 an ax(0,t) 0, t> 0 a) Find the d'AIembert's solution to the initial/boundary value problem. [Assuming that u is continuous at x = 0, t = 0.] b) Show that the solution found in part (a) maybe obtained by extending the initial position and velocity as even functions (around x = 0)