Question

Please show all work and answer all parts of the question. Please do not repost the question and if you do please at least include the actual code and not the written answer that is incorrect to other posts.

Consider the initial boundary value problem (IBVP) for the 1-D wave equation on a finite domain: y(0,t) 0, t > 0 t > 0 y(1,0) f(x) where f(x) =-sin ( 2 π-π (a) Plot the initial condition f(x) on the given physical interval [0, 1] (b) Plot the odd period extension of the initial condition f(x) on the extended interval[-2, 3 (c) Use D'Alembert's solution to determine the solution y(z, t) of the given IBVP (1) (A solution of the form given in Unit V Lecture 4 is sufficient) (d) Plot the displacement y(x, t) on the interval [0, 1] at the times vi, t=-.

Answer 1

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