Question: Show that the solution to the wave equation: , for a vibrating string of length L clamped at both ends corresponds to a standing wave

Show that the solution to the wave equation: , for a vibrating string of length "L" clamped at both ends corresponds to a standing wave solution (i.e., to the superposition of one wave traveling to the left and one wave traveling to the right). Sketch, approximately, the forms of the modes, for n = 4

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