(a) Consider functionals of the form I) J(y1,y2) 2/ f($7y17y27yiay)dx 0 where f E 01(R5) and y1(0) = 0, y2(0) = 0. What are the differential equations, and boundary conditions at :1: = b, satised by stationary functions y1(x), y2(3:)? (b) Find the stationary curves of #111,112) = ] yam)? + yam)? + 2y1(x)y2(x) dsv given that 311(0) 2 312(0) 2 0 While the other end point is in the plane a: = b