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Mathematics, 28.04.2021 22:20 alyviariggins

Consider an elastic string of length L whose ends are held fixed. The string is set in motion with no initial velocity from an initial position u(x, 0) = f(x). Let L = 10 and a = 1 in parts (b) and (c). (A computer algebra system is recommended.) f(x) = 2x L , 0 ā‰¤ x ā‰¤ L 2 , 2(L āˆ’ x) L , L 2 < x ā‰¤ L (a) Find the displacement u(x, t) for the given initial position f(x). (Use a to represent an arbitrary constant.)

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