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Dec17-12, 09:03 AM
P: 16
That's what I'm confused about. I know that I can express the motion of a vibrating string using sin and cos terms, but I don't know what BC's to apply if the ends of the string are free to move.

I want to express the shape of a string using sin and cos, but I am not sure what combination of terms is appropriate here.
Would y=Acos(kx-wt) + Bcos(kx+wt) + Csin(kx-wt) + Dsin(kx+wt) fully describe the motion?