Please solve it asap

m 2. Consider the functional E() = LIST dy , which maps a scalar function f= f(x.y,=) to a scalar value given by the right-hand side of the equation above, where [Vf' = VS . Vf and ) is the domain of integration. Show that if Vi f = 0, then - E(S + EU ) = 0 &=0 for any (once continuously differentiable) scalar function u = u(x,y,=) vanishing at the boundary of V. [In other words, demonstrate the equivalence of the variational problem of finding f which satisfies some given boundary conditions and makes E stationary, and the problem of solving Laplace's equation subject to the same boundary conditions.] Hint: Eventually, make use of Green's first identity: [ (yVp+ Vy . Vo)dv = $ wVo-nas