please solve this.

Solve the initial value problem for transverse vibration of a taut string of length L which is stretched from a = 0 to x = L on the x-axis, and has its ends fixed on the x-axis. At time t = 0 the string is at rest on the z-axis and its initial velocity is described by the function g(x) = L, for all 0 0, at2 Or2 3 (0, t) - y ( L, t ) y (x, 0) a Simplify your final answer as much as possible