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(ii) Consider the following Boundary Value Problem (BVP): Find u H'(92) which satisfies u(x) +u(x)=cos (x), for any XEN=[0, 1] u(x = 0) = 1
(ii) Consider the following Boundary Value Problem (BVP): Find u H'(92) which satisfies u"(x) +u(x)=cos (x), for any XEN=[0, 1] u(x = 0) = 1 u'(x = 1) = -2.5708 Derive the continuous weak form equation for the BVP above. Make sure to define the test spaces Vo and Vo, and write their formal definitions, as well as their role in the weak form statement. Show how the Dirichlet and Neumann boundary conditions are implemented for this problem in the discrete weak form in Finite Element methods
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