# Fixed Rope and Wave Solution

A rope of length 1 is fixed to a wall at $$x=0$$ and shaken at the other end so that:

$x(1,t) = \sin \omega t.$

Which of the following is a possible displacement of the rope as a function of $$x$$ and $$t$$ consistent with these boundary conditions, assuming waves the rope propagate with velocity $$v=1$$?

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