Answer Happy

*Notes attached might help. THANKS IN ADVANCE AND UPVOTE
PROBLEM A uniform string stretched between the points (0,0) and (L, O) is given an initial displacement: y = f(x) = x for 0 SXSL and released from rest. Find the subsequent displacement y(x, t). And Detemine the IC's and BC's Governing PDE: 22y = 16 ay [0<x<L, t > 0) at? дх? Obtain the expression for the coefficient by integrating the resulting Fourier series and include it in the final answer.

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