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Question: 7 the boundary value problem dx2 is to be solved...

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7 The boundary value problem dx2 is to be solved by the weighted residual method ( Determine which of the two trial functions, U(x) or U2( automatically satisfies the boundary conditions: u(x)-(1-x)+Gx(1-x)) (ii) Determine the residual L(11) function and then, by applying the weight functions u(x)--1 and w(x) x in turn, use the condition R(x) associated with your chosen trial to derive two algebraic equations for c and c2 Solve these equations working correct to four decimal places (i) Given that the exact solution is given by where A=s-006656, B 0.06656, then perform a check on your approximate solution, U(x), by computing the difference u(0.5)- u(0.5).

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