urgent
= The solution of the wave equation fu c2 du with c= 1 012 дх2 and the corresponding to the initial deflection f (x) = sin( **) and initial velocity zero (g(x) = 0), with L = 1 cm, and satisfying the boundary conditions u(0, t) = 0 and u(L, 1) = 0 for all t > 0. Hint: You have to find the following: (1) In = * (2) A, = Ź So f (x) sin( * * * )dx; n= 1,2,3,... (3) B. Só 8(x) sin( * * * )dx; n = 1, 2, 3,... (4) limn->1 (5) The solution is u(x, t) = L = sin(" * * ) [An cos(án 1) + B, sin(An 1)] 2 = сил sin(n) n2-1 = n/2.
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