Find the extremal curve of the functional J[x,y] ∫(0,1)(1,0)​(x... | Filo
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Extremal of the functional I = \int _ { 0 } ^ { 1 } \left[ y ... | Filo
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Problem 2.1 Find the extremal of the following functional∫0^2 [2x^2(t) ẋ^2(t)]dtwith the initial condition as x(0) = 0 and the final condition as x(2) = 5.Problem 2.2 Find the extremal of the functional∫-2^0 [12tx(t) ẋ^2(t)]dtto satisfy the boundary conditions x(-2) = 3, and x(0) = 0.
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