Give a convincing demonstration that the second-order equation (0. 1) ay +by +cy=0 Where a, b and c are constants, always possesses at least one solution of the form y1 = em1x , m1 a constant. Also, explain Why the differential equation in (0. 1) must then have a second solution either of the form y2 = em2x or of the form y2 = xem1x, m1 and m2 constants.