2b Show, through an explicit calculation, that Elu(,t),u(,t)]=0 for any solution u(r,t) of the IBVP. Use this fact to prove that the solution of the IBVP for this dispersive wave equation is unique; that is, that there exists at most one solution of the IBVP. 2c

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Q: Find u(x,t) from the wave equation, where the length of string is 1 i.e L=1, c² =1 and the initial…

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A: True

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