The vertical displacement u([i]x,t[/i]) of the vibrating string of length [i]L[/i] is determined from[br]u[sub]tt[/sub]([i]x,t[/i])=a[sup]2[/sup] u[sub]xx[/sub]([i]x,t[/i]), 0<[i]x[/i]<[i]L[/i], [i]t[/i]>0;[br]u(0,[i]t[/i])=0, u([i]L[/i],[i]t[/i])=0, [i]t[/i]>0;[br]u([i]x[/i],0)=f([i]x[/i]), u[sub]t[/sub]([i]x[/i],0)=g([i]x[/i]), 0<[i]x[/i]<[i]L[/i].[br][br]Things to try:[br][list][*]Change the initial conditions u(x,0)=f(x) and u[sub]t[/sub](x,0)=g(x).[br][/*][*]Increase [b]n[/b], the number of terms in the solution.[br][/*][*]Change the length [b]L[/b].[br][/*][/list]