Given the initial conditions u(x,0)=sin(pi x)-0.5sin(5pi x),u_(t)(x,0)=0,xin[0,1] for
a vibrating string with two fixed ends and wave speed c=3, write down the solution
u(x,t).
2. Given the initial conditions ux,0=sinx-0.5sin5x, ux,0)=0,x e[0,1] for a vibrating string with two fixed ends and wave speed c = 3,, write down the solution u(x,t).