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    Finite Difference Methods for PDEs

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    See the attached file.
    B. A beam is resting horizontally on the sharp edges of a room with width L, and has a ceiling attached in the shape ....
    At time t = 0 the glue releases and the beam
    vibrates. Describe the vibration for t > 0 if the situation is described by
    Boundary and initial values are given by
    Hint: Use separation of variables so that .....and choose the coordinates so
    that x = 0 at height H.
    Any Handbook on Mathematics for Engineers can be consulted.

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    Solution Summary

    Finite difference methods for PDEs are investigated and found in the solution. The solution is detailed and well presented.