Could someone run through a step by step procedure on how to solve a partial differentiation wave equation?
I'm currently trying to figure out this problem:
Consider an elastic string of length L whose ends are held fixed. The string is set in motion with no inital velocity from an initial position u(x,0) = f(x).
Find the displacement u(x,t) for the given initial position f(x).
f(x) = 2x/L 0 <= x <= L/2
2(L-x) / L L/2 < x < L