Question: 5. Consider the wave equation U with conditions Solve using MATLAB (i) u(r,0) = e-(+42 (0 x 4) (ii) U,(x,0)=0 (0 x 4) (ii) u0,)(t

5. Consider the wave equation U with conditions Solve using MATLAB (i) u(r,0) = e-(+42 (0 x 4) (ii) U,(x,0)=0 (0 x 4) (ii) u0,)(t 20) (a) Without using pre-bui commands write an m-file function that uses the finite-difference representation of the wave equation to numerically solve the above PDE. Your function should accept inputs for the value of c, r.at and a final time step T. (b) Expand this m-file function so that it also plots the wave at each time step on a single figure, with appropriate titles and axis labels. 5. Consider the wave equation U with conditions Solve using MATLAB (i) u(r,0) = e-(+42 (0 x 4) (ii) U,(x,0)=0 (0 x 4) (ii) u0,)(t 20) (a) Without using pre-bui commands write an m-file function that uses the finite-difference representation of the wave equation to numerically solve the above PDE. Your function should accept inputs for the value of c, r.at and a final time step T. (b) Expand this m-file function so that it also plots the wave at each time step on a single figure, with appropriate titles and axis labels

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