題組內容

3. Find the extrema (local maxima or minima) of the following functions or functionals.

(4)(申論題10%)Obtain the differential equation of f(x)that achieves extremum of a functional I[If(●)]=61bae916934a0.jpgdx. Here we have a boundary conditions given by f(a) = fa, f(b) = fb, f'(a)=f'a, f'(b)=f'b.