Problem 3.5 Minimize the functional 1 [J(x()) = {[* (s)]+ [x (s)]+2ex (s)}ds, [J(x(-)) = [...

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Problem 3.5 Minimize the functional 1 [J(x()) = {[* (s)]²+ [x (s)]²+2e³x (s)}ds, [J(x(-)) = [ {[i (s) 0 subject to the endpoint conditions x (0) = 0 and x (1) = e/2. Problem 3.5 Minimize the functional 1 [J(x()) = {[* (s)]²+ [x (s)]²+2e³x (s)}ds, [J(x(-)) = [ {[i (s) 0 subject to the endpoint conditions x (0) = 0 and x (1) = e/2.