4. For the differential equation, u" + a, Ct )u' + az(t) = 0 where a (t +T)= a,(t), for all t(i = 1, 2), show that the Floquet multipliers P, and p, satisfy the relation - PP2 = e -14,() Use the transformation uz ve to show that V" + a(t)V = 0 where, a(i)= a, -34-4 t If the Floquet multipliers for this equation are o, and 0 , show that 146) Pu2 = 0.2 and hence, confirm that o. o. =1. 4. For the differential equation, u" + a, Ct )u' + az(t) = 0 where a (t +T)= a,(t), for all t(i = 1, 2), show that the Floquet multipliers P, and p, satisfy the relation - PP2 = e -14,() Use the transformation uz ve to show that V" + a(t)V = 0 where, a(i)= a, -34-4 t If the Floquet multipliers for this equation are o, and 0 , show that 146) Pu2 = 0.2 and hence, confirm that o. o. =1