Consider an elastic string of length l whose ends are held fixed. the string is set in motion from its equilbiu position with an initial velocity u,(x,0)-g(r). in each of problems 5 through 8, carry out the following steps. let l 10 and a-1 in parts (b) through (d). (a) find the displacement u(x, t) for the given g(x) (b) plot 11(x, t) versus x for 0 x 10 and for several values of t between t = 0 and t = 20. (c) plot u(x, t) versus t for 0 t320 and for several values of x. (d) construct an animation of the solution in time for at least one period. (e) describe the motion of the string in a few sentences. 2x/l 2(l - x)/l, l/2