Find a formal solution to the vibrating string problem governed by the given initial-boundary value problem....

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Find a formal solution to the vibrating string problem governed by the given initial-boundary value problem. 0<x< 1, t> 0, %3! u(0,t) = u(1,t) = 0, t>0, u(x,0) = x(1-x), 0<x<1, du 0<x<1 ot (x,0) = sin 5xx, %3D 1 Click the icon to view the general formal solution to the vibrating string problem. 00 nta ητα Referring to the general formal solution for the vibrating string problem, u(x,t) = 2 an cos -t + b, sin sin provide the values for a, L, and the n= 1 coefficients a, and b, - Start by giving the value for a. (Type an exact answer, using n as needed.) Find a formal solution to the vibrating string problem governed by the given initial-boundary value problem. 0<x< 1, t> 0, %3! u(0,t) = u(1,t) = 0, t>0, u(x,0) = x(1-x), 0<x<1, du 0<x<1 ot (x,0) = sin 5xx, %3D 1 Click the icon to view the general formal solution to the vibrating string problem. 00 nta ητα Referring to the general formal solution for the vibrating string problem, u(x,t) = 2 an cos -t + b, sin sin provide the values for a, L, and the n= 1 coefficients a, and b, - Start by giving the value for a. (Type an exact answer, using n as needed.)