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Wave equation

Could you please show me how to do the problem attached? You don't have to do the first part (proving solutions to the wave equation by a separation of variables) as I know how to do that. Please start where it asks what is a normal mode, etc... Thank you.

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Solution Summary

This shows how to find normal modes for a wave equation and discusses properties of modes in an oscillating system, as well as discussing displacement and ratio of energies.

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