Solving the PDE in physics

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Solving the PDE in physics

Consider a flexible string held stationary at both ends and free to vibrate transversely subject only to the restoring forces due to tension in the string. Deduce the PDE for such systems and define all parameters that distinguish the systems. Do this with a string of normal length l and using Cartesian coordinates.

Using a separation of variables and reasonable BC`s solve the PDE generated above.

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