Find the x*(t) for the functional J = 1+ x2(t) dt with the boundary conditions of...

 

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Find the x*(t) for the functional J = 1+ x2(t) dt with the boundary conditions of {x(0) = 1, x(2) = 4} and show that the trajectory is minimum or maximum. Find the x*(t) for the functional J = 1+ x2(t) dt with the boundary conditions of {x(0) = 1, x(2) = 4} and show that the trajectory is minimum or maximum.