Please only do question 10

Please answer step by step with an explanation.

Why do we set C1= 1 , C2=0 at first, and then C1=0 , C2=1? Is it a rule? or it depends on something else?

9) 10) Let y'\" + cry" + by' + 63.) = 1606). Suppose the homogeneous solution is yh = KE'\" + 92X[M cos :6 + N 5m x] a) What are the values of a, b, and e of the differential equation? In) Suppose T06) = 2'\" + 8'\" + :62, what will be your choice ofyp? e) Suppose T06) = 9'\" 00536 + 8'21 5m 36, what will be your choice ofyp'? d) Suppose T06) = Snx C0356 + cos )6, what will be your choice of 3);}? Let y" + $106))\" + q06)y = 0. Find p06) and 1:06) if the solution is y = (.1364 + Czar3