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 Assuming that u(x,t) can be separated into a function of space x multiplied by a function of time t, show that the system is represented by two Ordinary Differential Equations (ODEs). State these equations, the two boundary conditions, and the two initial conditions that are necessary to solve for a unique solution. (8%)2. Apply the boundary conditions to solve the spatial ODE. State the general solution to the time ODE. Then determine an expression for the displacement u(x,t) in terms of ...

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