Question: Lot A = {u : [a, b] -> Ru c C' ([a, b)), u(a) = A, u(b) = B}. Consider the problem minimise: F(u(.)) =

Lot A = {u : [a, b] -> Ru c C' ([a, b)), u(a) = A, u(b) = B}. Consider the problem minimise: F(u(.)) = I 1 tu(x) dr subject to: u CA. (a) Find the Euler-Lagrange equation and integrate it once to get a first order differential equation. (b) Assuming the constant of integration above is 0, solve the Euler- Lagrange equation

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