The variational problem of extremizing the functional \(\rm I(y(x))=\int_0^{2 π}\left[\left(\frac{d y}{d x}\right)^2-y^2\right] d x\); y(0) = 1, y(2π) = 1 has
1
a unique solution
2
exactly two solution
3
an infinite number of solutions
4
no solution
5
Question Not Attempted