2) Green function and Fredholm: Seek a solution to the equation dig dmz =f($), 33 6 [0:1] with inhomogeneous boundary conditions y'(0) = F0, y'(1) = F1. Observe that the corre sponding homogeneous boundary condition problem has a zero mode. Therefore the solution, if one exists, cannot be unique. a) Show that there can be no solution to the differential equation and inhomogeneous boundary condition unless x) satises the condition A at) d1: = F0 F1. (air) [5 points] b) Let G(33, .5) denote the modied Green function l+'\"\"23, O