A string with tension F Newtons, mass m kilograms, and length L meters is clamped at each end (y=0 at x=0 and x=L). At time t=0, the displacement in the y-direction for each point x on the string is defined as:
y(x, t = 0) = 2 sin ( 2πx/L) + 3 sin (πx/L)
= y1(x, t = 0) + y2(x, t = 0)
(a)...