we want to ?nd the fuction y(x) which minimizes its value and passes through the

Question

we want to ?nd the fuction y(x) which minimizes its value and passes through the endpoints (0,0)and (1,3).

a) Determine the value of the functional if: i) y(x) = 3 x; ii) y(x) = 3x^2.

b) Find the solution y(x) that minimizes the functional J{y, y; x}.b) Compute the value of the integral J.

we want to find the function y(x) which minimizes its value and passes through the endpoints (0,0)and (1,3). a) Determine the value of the functional if: i) y(x) = 3 x; ii) y(x) = 3x^2. b) Find the solution y(x) that minimizes the functional J{y, y'; x}.b) Compute the value of the integral J.

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