$25
1. (4 points) Find the extremals of the functional
2. (4 points) Find the extremals of the functional
3. (4 points) Find the extremals of the functional
subject to the boundary conditions y(0) = 0,y0(0) = 1,y(1) = 1,y0(1) = 1.
4. (4 points) Find the extremals of the functional
subject to the boundary conditions