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Given the following functional I[u]=01[21(dxdu)2+audxdu+21(bu)4]dxuqx=1 where a(x),b(x) and u(0)=0. c) Assuming a(x)=x2,b(x)=0 and q(x)=2, use the Rayleigh-Ritz method to determine a first order (N=1) approximation
Given the following functional I[u]=01[21(dxdu)2+audxdu+21(bu)4]dxuqx=1 where a(x),b(x) and u(0)=0. c) Assuming a(x)=x2,b(x)=0 and q(x)=2, use the Rayleigh-Ritz method to determine a first order (N=1) approximation of the solution. Solution: (Please show all your calculations)
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