Solve Vibrating String equation with MATLAB

With MATLAB, numerically solve the problem of the vibrating string with the initial solution:

while considering:

and

where we take c=1 , m = 49, h=t.

Also, create an animation of the solution u(x,t) for 0 t 2.

h(x) e-400 (r-0.5)2 h(x) e-400 (r-0.5)2